diff --git "a/Mathematics/Mathematics__Rationality_of_Rigid_Quiver_Grassmannians.json" "b/Mathematics/Mathematics__Rationality_of_Rigid_Quiver_Grassmannians.json" new file mode 100644--- /dev/null +++ "b/Mathematics/Mathematics__Rationality_of_Rigid_Quiver_Grassmannians.json" @@ -0,0 +1 @@ +{"nodes": [{"id": "0", "name": "weyl group"}, {"id": "1", "name": "directed graph"}, {"id": "2", "name": "stable representations"}, {"id": "3", "name": "projective variety"}, {"id": "4", "name": "skew symmetric"}, {"id": "5", "name": "rational numbers"}, {"id": "6", "name": "algebraic group"}, {"id": "7", "name": "dimension vectors"}, {"id": "8", "name": "quantum group"}, {"id": "9", "name": "euclidean space"}, {"id": "10", "name": "euler characteristic"}, {"id": "11", "name": "lie algebra"}, {"id": "12", "name": "direct sum"}, {"id": "13", "name": "homogeneous space"}, {"id": "14", "name": "cohomology ring"}, {"id": "15", "name": "vector space"}, {"id": "16", "name": "moduli space"}, {"id": "17", "name": "dynkin diagram"}, {"id": "18", "name": "serre duality"}, {"id": "19", "name": "symmetric group"}, {"id": "20", "name": "gauge group"}, {"id": "21", "name": "fixed point"}, {"id": "22", "name": "gauge theory"}, {"id": "23", "name": "projective space"}, {"id": "24", "name": "algebraic varieties"}, {"id": "25", "name": "closed form"}, {"id": "26", "name": "finite field"}, {"id": "27", "name": "lie group"}, {"id": "28", "name": "string theory"}, {"id": "29", "name": "coxeter group"}, {"id": "30", "name": "algebraic geometry"}, {"id": "31", "name": "flag variety"}, {"id": "32", "name": "rigid body"}, {"id": "33", "name": "generating function"}, {"id": "34", "name": "rational function"}, {"id": "35", "name": "reductive group"}, {"id": "36", "name": "gauge theories"}, {"id": "37", "name": "riemann surfaces"}, {"id": "38", "name": "abelian group"}, {"id": "39", "name": "hilbert space"}], "evolve_edges": [{"2000": [{"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 2.0, "year": 2000}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 2.0, "year": 2000}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2000}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2000}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 2.0, "year": 2000}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 1.0, "year": 2000}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 1.0, "year": 2000}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 1.0, "year": 2000}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2000}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2000}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 1.0, "year": 2000}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2000}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 1.0, "year": 2000}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 1.0, "year": 2000}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2000}]}, {"2001": [{"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 2.0, "year": 2001}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 2.0, "year": 2001}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2001}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 1.0, "year": 2001}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2001}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2001}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2001}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2001}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2001}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 2.0, "year": 2001}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2001}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 2.0, "year": 2001}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 2.0, "year": 2001}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2001}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2001}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 1.0, "year": 2001}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2001}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2001}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 1.0, "year": 2001}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2001}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2001}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 1.0, "year": 2001}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 2.0, "year": 2001}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 1.0, "year": 2001}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 1.0, "year": 2001}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2001}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 1.0, "year": 2001}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 1.0, "year": 2001}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2001}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2001}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 1.0, "year": 2001}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2001}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 1.0, "year": 2001}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2001}]}, {"2002": [{"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 3.0, "year": 2002}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 3.0, "year": 2002}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2002}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 1.0, "year": 2002}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2002}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2002}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2002}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2002}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 1.0, "year": 2002}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2002}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 3.0, "year": 2002}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2002}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 3.0, "year": 2002}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 2.0, "year": 2002}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 2.0, "year": 2002}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2002}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2002}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2002}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 2.0, "year": 2002}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2002}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 1.0, "year": 2002}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 1.0, "year": 2002}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2002}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2002}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 2.0, "year": 2002}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2002}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2002}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 2.0, "year": 2002}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 2.0, "year": 2002}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 1.0, "year": 2002}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2002}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 1.0, "year": 2002}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 1.0, "year": 2002}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2002}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 2.0, "year": 2002}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 2.0, "year": 2002}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 3.0, "year": 2002}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 1.0, "year": 2002}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 1.0, "year": 2002}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 5.0, "year": 2002}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2002}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2002}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2002}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 1.0, "year": 2002}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 1.0, "year": 2002}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2002}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2002}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2002}]}, {"2003": [{"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2003}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 4.0, "year": 2003}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 1.0, "year": 2003}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 1.0, "year": 2003}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2003}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 1.0, "year": 2003}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2003}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2003}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2003}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2003}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 1.0, "year": 2003}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2003}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 4.0, "year": 2003}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2003}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 3.0, "year": 2003}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 3.0, "year": 2003}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 3.0, "year": 2003}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2003}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2003}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2003}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 2.0, "year": 2003}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2003}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 1.0, "year": 2003}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2003}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2003}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2003}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 1.0, "year": 2003}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 2.0, "year": 2003}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2003}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2003}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 2.0, "year": 2003}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 2.0, "year": 2003}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 1.0, "year": 2003}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2003}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 1.0, "year": 2003}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 1.0, "year": 2003}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2003}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 3.0, "year": 2003}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 1.0, "year": 2003}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 2.0, "year": 2003}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 1.0, "year": 2003}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 3.0, "year": 2003}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 1.0, "year": 2003}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 1.0, "year": 2003}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 6.0, "year": 2003}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2003}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2003}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 1.0, "year": 2003}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2003}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2003}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 1.0, "year": 2003}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 1.0, "year": 2003}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2003}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2003}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2003}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2003}]}, {"2004": [{"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2004}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 4.0, "year": 2004}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 1.0, "year": 2004}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 1.0, "year": 2004}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2004}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 1.0, "year": 2004}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2004}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2004}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 1.0, "year": 2004}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2004}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2004}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2004}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2004}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 4.0, "year": 2004}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2004}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2004}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 3.0, "year": 2004}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 1.0, "year": 2004}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 1.0, "year": 2004}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 3.0, "year": 2004}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2004}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2004}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2004}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 3.0, "year": 2004}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2004}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 1.0, "year": 2004}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 1.0, "year": 2004}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2004}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2004}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2004}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 2.0, "year": 2004}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 2.0, "year": 2004}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2004}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2004}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 2.0, "year": 2004}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 2.0, "year": 2004}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 1.0, "year": 2004}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2004}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 1.0, "year": 2004}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 1.0, "year": 2004}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2004}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 5.0, "year": 2004}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 5.0, "year": 2004}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 2.0, "year": 2004}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 1.0, "year": 2004}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 4.0, "year": 2004}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 1.0, "year": 2004}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 1.0, "year": 2004}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 8.0, "year": 2004}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2004}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2004}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2004}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2004}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2004}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2004}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 1.0, "year": 2004}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 1.0, "year": 2004}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2004}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2004}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2004}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2004}]}, {"2005": [{"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2005}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 4.0, "year": 2005}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 1.0, "year": 2005}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 1.0, "year": 2005}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2005}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 1.0, "year": 2005}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2005}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2005}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2005}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2005}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2005}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2005}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2005}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 4.0, "year": 2005}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2005}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2005}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 5.0, "year": 2005}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 1.0, "year": 2005}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 1.0, "year": 2005}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 3.0, "year": 2005}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2005}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2005}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2005}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 3.0, "year": 2005}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2005}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 1.0, "year": 2005}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 1.0, "year": 2005}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2005}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2005}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 1.0, "year": 2005}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2005}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 2.0, "year": 2005}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 2.0, "year": 2005}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2005}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 1.0, "year": 2005}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2005}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2005}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 2.0, "year": 2005}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 2.0, "year": 2005}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2005}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 1.0, "year": 2005}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2005}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 1.0, "year": 2005}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 1.0, "year": 2005}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 2.0, "year": 2005}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 1.0, "year": 2005}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2005}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 5.0, "year": 2005}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 6.0, "year": 2005}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 2.0, "year": 2005}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 1.0, "year": 2005}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 4.0, "year": 2005}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 1.0, "year": 2005}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 1.0, "year": 2005}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 9.0, "year": 2005}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2005}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2005}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2005}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2005}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2005}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2005}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2005}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 1.0, "year": 2005}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 1.0, "year": 2005}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2005}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2005}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2005}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2005}]}, {"2006": [{"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2006}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 6.0, "year": 2006}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2006}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 2.0, "year": 2006}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 1.0, "year": 2006}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2006}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 1.0, "year": 2006}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2006}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2006}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2006}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2006}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2006}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2006}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2006}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2006}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2006}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2006}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 4.0, "year": 2006}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2006}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2006}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 5.0, "year": 2006}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 1.0, "year": 2006}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2006}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 3.0, "year": 2006}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2006}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 3.0, "year": 2006}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2006}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2006}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 3.0, "year": 2006}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2006}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 1.0, "year": 2006}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 1.0, "year": 2006}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 1.0, "year": 2006}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2006}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2006}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 1.0, "year": 2006}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2006}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 2.0, "year": 2006}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 2.0, "year": 2006}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2006}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 2.0, "year": 2006}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2006}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2006}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 1.0, "year": 2006}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2006}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2006}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 2.0, "year": 2006}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 4.0, "year": 2006}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2006}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 2.0, "year": 2006}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2006}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 1.0, "year": 2006}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 1.0, "year": 2006}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 5.0, "year": 2006}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 2.0, "year": 2006}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2006}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 5.0, "year": 2006}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 6.0, "year": 2006}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 2.0, "year": 2006}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2006}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2006}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2006}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 4.0, "year": 2006}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 2.0, "year": 2006}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 1.0, "year": 2006}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 11.0, "year": 2006}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2006}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2006}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2006}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2006}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2006}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2006}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2006}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 1.0, "year": 2006}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 2.0, "year": 2006}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2006}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2006}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2006}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2006}]}, {"2007": [{"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2007}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2007}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 1.0, "year": 2007}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 1.0, "year": 2007}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 1.0, "year": 2007}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2007}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2007}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 8.0, "year": 2007}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2007}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2007}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2007}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2007}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2007}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2007}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2007}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 1.0, "year": 2007}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2007}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2007}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2007}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2007}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2007}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2007}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2007}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2007}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2007}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2007}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2007}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2007}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 4.0, "year": 2007}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2007}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2007}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 6.0, "year": 2007}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 1.0, "year": 2007}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2007}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 3.0, "year": 2007}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2007}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 3.0, "year": 2007}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2007}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 1.0, "year": 2007}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2007}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2007}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 3.0, "year": 2007}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 1.0, "year": 2007}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2007}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2007}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2007}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 1.0, "year": 2007}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2007}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2007}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2007}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 2.0, "year": 2007}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2007}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 1.0, "year": 2007}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 2.0, "year": 2007}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 2.0, "year": 2007}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2007}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 2.0, "year": 2007}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2007}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2007}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 1.0, "year": 2007}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2007}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2007}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2007}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 2.0, "year": 2007}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 5.0, "year": 2007}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2007}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 2.0, "year": 2007}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2007}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2007}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 1.0, "year": 2007}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 5.0, "year": 2007}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2007}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2007}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 1.0, "year": 2007}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2007}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 5.0, "year": 2007}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 8.0, "year": 2007}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 2.0, "year": 2007}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2007}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2007}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2007}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 4.0, "year": 2007}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 2.0, "year": 2007}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 1.0, "year": 2007}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 15.0, "year": 2007}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2007}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2007}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2007}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2007}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2007}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2007}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2007}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2007}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 1.0, "year": 2007}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2007}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 2.0, "year": 2007}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2007}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2007}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2007}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2007}]}, {"2008": [{"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2008}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2008}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 1.0, "year": 2008}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 1.0, "year": 2008}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 1.0, "year": 2008}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2008}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2008}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 9.0, "year": 2008}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2008}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2008}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2008}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2008}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2008}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2008}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2008}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 1.0, "year": 2008}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2008}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2008}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2008}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2008}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2008}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2008}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2008}, {"source": "6", "target": "24", "source_name": "algebraic group", "target_name": "algebraic varieties", "weight": 1.0, "year": 2008}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2008}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2008}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2008}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2008}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2008}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 4.0, "year": 2008}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2008}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2008}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 7.0, "year": 2008}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 2.0, "year": 2008}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2008}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 3.0, "year": 2008}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2008}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 3.0, "year": 2008}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2008}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 1.0, "year": 2008}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2008}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2008}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 3.0, "year": 2008}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 1.0, "year": 2008}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2008}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2008}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2008}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 1.0, "year": 2008}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2008}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2008}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2008}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 2.0, "year": 2008}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2008}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 1.0, "year": 2008}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 2.0, "year": 2008}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 2.0, "year": 2008}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2008}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 2.0, "year": 2008}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2008}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2008}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 1.0, "year": 2008}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2008}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2008}, {"source": "15", "target": "31", "source_name": "vector space", "target_name": "flag variety", "weight": 1.0, "year": 2008}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2008}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 4.0, "year": 2008}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 5.0, "year": 2008}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2008}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 2.0, "year": 2008}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2008}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2008}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 2.0, "year": 2008}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 7.0, "year": 2008}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2008}, {"source": "17", "target": "20", "source_name": "dynkin diagram", "target_name": "gauge group", "weight": 2.0, "year": 2008}, {"source": "17", "target": "21", "source_name": "dynkin diagram", "target_name": "fixed point", "weight": 2.0, "year": 2008}, {"source": "17", "target": "22", "source_name": "dynkin diagram", "target_name": "gauge theory", "weight": 2.0, "year": 2008}, {"source": "17", "target": "28", "source_name": "dynkin diagram", "target_name": "string theory", "weight": 2.0, "year": 2008}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2008}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 1.0, "year": 2008}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2008}, {"source": "20", "target": "21", "source_name": "gauge group", "target_name": "fixed point", "weight": 3.0, "year": 2008}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 7.0, "year": 2008}, {"source": "20", "target": "28", "source_name": "gauge group", "target_name": "string theory", "weight": 2.0, "year": 2008}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 9.0, "year": 2008}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 4.0, "year": 2008}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2008}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2008}, {"source": "21", "target": "28", "source_name": "fixed point", "target_name": "string theory", "weight": 2.0, "year": 2008}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2008}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 4.0, "year": 2008}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 4.0, "year": 2008}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 1.0, "year": 2008}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 18.0, "year": 2008}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2008}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2008}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2008}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2008}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2008}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2008}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2008}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2008}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 1.0, "year": 2008}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2008}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 2.0, "year": 2008}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2008}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2008}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2008}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2008}]}, {"2009": [{"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2009}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2009}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 1.0, "year": 2009}, {"source": "1", "target": "8", "source_name": "directed graph", "target_name": "quantum group", "weight": 1.0, "year": 2009}, {"source": "1", "target": "11", "source_name": "directed graph", "target_name": "lie algebra", "weight": 1.0, "year": 2009}, {"source": "1", "target": "15", "source_name": "directed graph", "target_name": "vector space", "weight": 1.0, "year": 2009}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 1.0, "year": 2009}, {"source": "1", "target": "30", "source_name": "directed graph", "target_name": "algebraic geometry", "weight": 1.0, "year": 2009}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 1.0, "year": 2009}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2009}, {"source": "2", "target": "9", "source_name": "stable representations", "target_name": "euclidean space", "weight": 1.0, "year": 2009}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2009}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 12.0, "year": 2009}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2009}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2009}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2009}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2009}, {"source": "2", "target": "31", "source_name": "stable representations", "target_name": "flag variety", "weight": 1.0, "year": 2009}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2009}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2009}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2009}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 1.0, "year": 2009}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2009}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2009}, {"source": "3", "target": "35", "source_name": "projective variety", "target_name": "reductive group", "weight": 1.0, "year": 2009}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2009}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2009}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2009}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2009}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2009}, {"source": "6", "target": "24", "source_name": "algebraic group", "target_name": "algebraic varieties", "weight": 1.0, "year": 2009}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2009}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2009}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2009}, {"source": "7", "target": "10", "source_name": "dimension vectors", "target_name": "euler characteristic", "weight": 1.0, "year": 2009}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2009}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2009}, {"source": "7", "target": "15", "source_name": "dimension vectors", "target_name": "vector space", "weight": 1.0, "year": 2009}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 4.0, "year": 2009}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2009}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2009}, {"source": "7", "target": "31", "source_name": "dimension vectors", "target_name": "flag variety", "weight": 1.0, "year": 2009}, {"source": "7", "target": "35", "source_name": "dimension vectors", "target_name": "reductive group", "weight": 1.0, "year": 2009}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 8.0, "year": 2009}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 3.0, "year": 2009}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2009}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 4.0, "year": 2009}, {"source": "9", "target": "16", "source_name": "euclidean space", "target_name": "moduli space", "weight": 1.0, "year": 2009}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2009}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 3.0, "year": 2009}, {"source": "10", "target": "26", "source_name": "euler characteristic", "target_name": "finite field", "weight": 1.0, "year": 2009}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2009}, {"source": "11", "target": "15", "source_name": "lie algebra", "target_name": "vector space", "weight": 1.0, "year": 2009}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 1.0, "year": 2009}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2009}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2009}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 3.0, "year": 2009}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 2.0, "year": 2009}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2009}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2009}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2009}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 1.0, "year": 2009}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2009}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2009}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2009}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 2.0, "year": 2009}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2009}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 2.0, "year": 2009}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 2.0, "year": 2009}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 2.0, "year": 2009}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2009}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 2.0, "year": 2009}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2009}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2009}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 1.0, "year": 2009}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2009}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2009}, {"source": "15", "target": "30", "source_name": "vector space", "target_name": "algebraic geometry", "weight": 1.0, "year": 2009}, {"source": "15", "target": "31", "source_name": "vector space", "target_name": "flag variety", "weight": 2.0, "year": 2009}, {"source": "15", "target": "34", "source_name": "vector space", "target_name": "rational function", "weight": 1.0, "year": 2009}, {"source": "15", "target": "35", "source_name": "vector space", "target_name": "reductive group", "weight": 1.0, "year": 2009}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2009}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 5.0, "year": 2009}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 5.0, "year": 2009}, {"source": "16", "target": "24", "source_name": "moduli space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2009}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2009}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 2.0, "year": 2009}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2009}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2009}, {"source": "16", "target": "31", "source_name": "moduli space", "target_name": "flag variety", "weight": 1.0, "year": 2009}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 2.0, "year": 2009}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 7.0, "year": 2009}, {"source": "16", "target": "37", "source_name": "moduli space", "target_name": "riemann surfaces", "weight": 1.0, "year": 2009}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2009}, {"source": "17", "target": "20", "source_name": "dynkin diagram", "target_name": "gauge group", "weight": 2.0, "year": 2009}, {"source": "17", "target": "21", "source_name": "dynkin diagram", "target_name": "fixed point", "weight": 2.0, "year": 2009}, {"source": "17", "target": "22", "source_name": "dynkin diagram", "target_name": "gauge theory", "weight": 2.0, "year": 2009}, {"source": "17", "target": "28", "source_name": "dynkin diagram", "target_name": "string theory", "weight": 2.0, "year": 2009}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2009}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 1.0, "year": 2009}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2009}, {"source": "20", "target": "21", "source_name": "gauge group", "target_name": "fixed point", "weight": 3.0, "year": 2009}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 7.0, "year": 2009}, {"source": "20", "target": "28", "source_name": "gauge group", "target_name": "string theory", "weight": 2.0, "year": 2009}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 9.0, "year": 2009}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 6.0, "year": 2009}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2009}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2009}, {"source": "21", "target": "28", "source_name": "fixed point", "target_name": "string theory", "weight": 2.0, "year": 2009}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2009}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 6.0, "year": 2009}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 4.0, "year": 2009}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 2.0, "year": 2009}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 20.0, "year": 2009}, {"source": "22", "target": "37", "source_name": "gauge theory", "target_name": "riemann surfaces", "weight": 1.0, "year": 2009}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2009}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2009}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2009}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2009}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2009}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2009}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2009}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2009}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 1.0, "year": 2009}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2009}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 2.0, "year": 2009}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2009}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2009}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2009}, {"source": "30", "target": "37", "source_name": "algebraic geometry", "target_name": "riemann surfaces", "weight": 1.0, "year": 2009}, {"source": "31", "target": "35", "source_name": "flag variety", "target_name": "reductive group", "weight": 1.0, "year": 2009}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2009}]}, {"2010": [{"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2010}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2010}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 1.0, "year": 2010}, {"source": "1", "target": "8", "source_name": "directed graph", "target_name": "quantum group", "weight": 1.0, "year": 2010}, {"source": "1", "target": "11", "source_name": "directed graph", "target_name": "lie algebra", "weight": 1.0, "year": 2010}, {"source": "1", "target": "15", "source_name": "directed graph", "target_name": "vector space", "weight": 1.0, "year": 2010}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 1.0, "year": 2010}, {"source": "1", "target": "30", "source_name": "directed graph", "target_name": "algebraic geometry", "weight": 1.0, "year": 2010}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 1.0, "year": 2010}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2010}, {"source": "2", "target": "9", "source_name": "stable representations", "target_name": "euclidean space", "weight": 1.0, "year": 2010}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2010}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 12.0, "year": 2010}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2010}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2010}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2010}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2010}, {"source": "2", "target": "31", "source_name": "stable representations", "target_name": "flag variety", "weight": 1.0, "year": 2010}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2010}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2010}, {"source": "3", "target": "16", "source_name": "projective variety", "target_name": "moduli space", "weight": 1.0, "year": 2010}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2010}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 1.0, "year": 2010}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2010}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2010}, {"source": "3", "target": "35", "source_name": "projective variety", "target_name": "reductive group", "weight": 1.0, "year": 2010}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2010}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2010}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2010}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2010}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2010}, {"source": "6", "target": "24", "source_name": "algebraic group", "target_name": "algebraic varieties", "weight": 1.0, "year": 2010}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2010}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2010}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2010}, {"source": "7", "target": "10", "source_name": "dimension vectors", "target_name": "euler characteristic", "weight": 1.0, "year": 2010}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2010}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2010}, {"source": "7", "target": "15", "source_name": "dimension vectors", "target_name": "vector space", "weight": 1.0, "year": 2010}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 4.0, "year": 2010}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2010}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2010}, {"source": "7", "target": "31", "source_name": "dimension vectors", "target_name": "flag variety", "weight": 1.0, "year": 2010}, {"source": "7", "target": "35", "source_name": "dimension vectors", "target_name": "reductive group", "weight": 1.0, "year": 2010}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 9.0, "year": 2010}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 3.0, "year": 2010}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2010}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 4.0, "year": 2010}, {"source": "9", "target": "16", "source_name": "euclidean space", "target_name": "moduli space", "weight": 1.0, "year": 2010}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2010}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 3.0, "year": 2010}, {"source": "10", "target": "16", "source_name": "euler characteristic", "target_name": "moduli space", "weight": 1.0, "year": 2010}, {"source": "10", "target": "26", "source_name": "euler characteristic", "target_name": "finite field", "weight": 1.0, "year": 2010}, {"source": "10", "target": "30", "source_name": "euler characteristic", "target_name": "algebraic geometry", "weight": 1.0, "year": 2010}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2010}, {"source": "11", "target": "15", "source_name": "lie algebra", "target_name": "vector space", "weight": 1.0, "year": 2010}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 1.0, "year": 2010}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2010}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2010}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 3.0, "year": 2010}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 2.0, "year": 2010}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2010}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2010}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2010}, {"source": "12", "target": "15", "source_name": "direct sum", "target_name": "vector space", "weight": 1.0, "year": 2010}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 2.0, "year": 2010}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2010}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2010}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2010}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 2.0, "year": 2010}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2010}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 2.0, "year": 2010}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 3.0, "year": 2010}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 2.0, "year": 2010}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2010}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 2.0, "year": 2010}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2010}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2010}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 1.0, "year": 2010}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2010}, {"source": "15", "target": "17", "source_name": "vector space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2010}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2010}, {"source": "15", "target": "27", "source_name": "vector space", "target_name": "lie group", "weight": 1.0, "year": 2010}, {"source": "15", "target": "30", "source_name": "vector space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2010}, {"source": "15", "target": "31", "source_name": "vector space", "target_name": "flag variety", "weight": 2.0, "year": 2010}, {"source": "15", "target": "34", "source_name": "vector space", "target_name": "rational function", "weight": 1.0, "year": 2010}, {"source": "15", "target": "35", "source_name": "vector space", "target_name": "reductive group", "weight": 1.0, "year": 2010}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2010}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 5.0, "year": 2010}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 6.0, "year": 2010}, {"source": "16", "target": "24", "source_name": "moduli space", "target_name": "algebraic varieties", "weight": 2.0, "year": 2010}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2010}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 2.0, "year": 2010}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2010}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2010}, {"source": "16", "target": "31", "source_name": "moduli space", "target_name": "flag variety", "weight": 1.0, "year": 2010}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 4.0, "year": 2010}, {"source": "16", "target": "35", "source_name": "moduli space", "target_name": "reductive group", "weight": 1.0, "year": 2010}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 7.0, "year": 2010}, {"source": "16", "target": "37", "source_name": "moduli space", "target_name": "riemann surfaces", "weight": 1.0, "year": 2010}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2010}, {"source": "17", "target": "20", "source_name": "dynkin diagram", "target_name": "gauge group", "weight": 2.0, "year": 2010}, {"source": "17", "target": "21", "source_name": "dynkin diagram", "target_name": "fixed point", "weight": 2.0, "year": 2010}, {"source": "17", "target": "22", "source_name": "dynkin diagram", "target_name": "gauge theory", "weight": 2.0, "year": 2010}, {"source": "17", "target": "28", "source_name": "dynkin diagram", "target_name": "string theory", "weight": 2.0, "year": 2010}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2010}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 1.0, "year": 2010}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2010}, {"source": "20", "target": "21", "source_name": "gauge group", "target_name": "fixed point", "weight": 3.0, "year": 2010}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 7.0, "year": 2010}, {"source": "20", "target": "28", "source_name": "gauge group", "target_name": "string theory", "weight": 2.0, "year": 2010}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 9.0, "year": 2010}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 6.0, "year": 2010}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2010}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2010}, {"source": "21", "target": "28", "source_name": "fixed point", "target_name": "string theory", "weight": 2.0, "year": 2010}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2010}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 6.0, "year": 2010}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 4.0, "year": 2010}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 2.0, "year": 2010}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 20.0, "year": 2010}, {"source": "22", "target": "37", "source_name": "gauge theory", "target_name": "riemann surfaces", "weight": 1.0, "year": 2010}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2010}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2010}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2010}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2010}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2010}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2010}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2010}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2010}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 1.0, "year": 2010}, {"source": "27", "target": "30", "source_name": "lie group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2010}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2010}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 2.0, "year": 2010}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2010}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2010}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2010}, {"source": "30", "target": "37", "source_name": "algebraic geometry", "target_name": "riemann surfaces", "weight": 1.0, "year": 2010}, {"source": "31", "target": "35", "source_name": "flag variety", "target_name": "reductive group", "weight": 1.0, "year": 2010}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2010}]}, {"2011": [{"source": "0", "target": "1", "source_name": "weyl group", "target_name": "directed graph", "weight": 1.0, "year": 2011}, {"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2011}, {"source": "0", "target": "17", "source_name": "weyl group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2011}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2011}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 1.0, "year": 2011}, {"source": "1", "target": "8", "source_name": "directed graph", "target_name": "quantum group", "weight": 1.0, "year": 2011}, {"source": "1", "target": "11", "source_name": "directed graph", "target_name": "lie algebra", "weight": 1.0, "year": 2011}, {"source": "1", "target": "15", "source_name": "directed graph", "target_name": "vector space", "weight": 1.0, "year": 2011}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 2.0, "year": 2011}, {"source": "1", "target": "30", "source_name": "directed graph", "target_name": "algebraic geometry", "weight": 1.0, "year": 2011}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 1.0, "year": 2011}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2011}, {"source": "2", "target": "9", "source_name": "stable representations", "target_name": "euclidean space", "weight": 1.0, "year": 2011}, {"source": "2", "target": "10", "source_name": "stable representations", "target_name": "euler characteristic", "weight": 1.0, "year": 2011}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2011}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 16.0, "year": 2011}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2011}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2011}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2011}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2011}, {"source": "2", "target": "31", "source_name": "stable representations", "target_name": "flag variety", "weight": 3.0, "year": 2011}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2011}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2011}, {"source": "3", "target": "16", "source_name": "projective variety", "target_name": "moduli space", "weight": 1.0, "year": 2011}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2011}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 1.0, "year": 2011}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2011}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2011}, {"source": "3", "target": "35", "source_name": "projective variety", "target_name": "reductive group", "weight": 1.0, "year": 2011}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2011}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2011}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2011}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2011}, {"source": "6", "target": "16", "source_name": "algebraic group", "target_name": "moduli space", "weight": 1.0, "year": 2011}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2011}, {"source": "6", "target": "24", "source_name": "algebraic group", "target_name": "algebraic varieties", "weight": 1.0, "year": 2011}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2011}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2011}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2011}, {"source": "7", "target": "10", "source_name": "dimension vectors", "target_name": "euler characteristic", "weight": 1.0, "year": 2011}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2011}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2011}, {"source": "7", "target": "15", "source_name": "dimension vectors", "target_name": "vector space", "weight": 1.0, "year": 2011}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 4.0, "year": 2011}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2011}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2011}, {"source": "7", "target": "31", "source_name": "dimension vectors", "target_name": "flag variety", "weight": 1.0, "year": 2011}, {"source": "7", "target": "35", "source_name": "dimension vectors", "target_name": "reductive group", "weight": 1.0, "year": 2011}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 9.0, "year": 2011}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 3.0, "year": 2011}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2011}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 4.0, "year": 2011}, {"source": "9", "target": "16", "source_name": "euclidean space", "target_name": "moduli space", "weight": 1.0, "year": 2011}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2011}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 3.0, "year": 2011}, {"source": "10", "target": "16", "source_name": "euler characteristic", "target_name": "moduli space", "weight": 4.0, "year": 2011}, {"source": "10", "target": "26", "source_name": "euler characteristic", "target_name": "finite field", "weight": 2.0, "year": 2011}, {"source": "10", "target": "30", "source_name": "euler characteristic", "target_name": "algebraic geometry", "weight": 1.0, "year": 2011}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2011}, {"source": "11", "target": "15", "source_name": "lie algebra", "target_name": "vector space", "weight": 1.0, "year": 2011}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 1.0, "year": 2011}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2011}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2011}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 4.0, "year": 2011}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 2.0, "year": 2011}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2011}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2011}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2011}, {"source": "12", "target": "15", "source_name": "direct sum", "target_name": "vector space", "weight": 1.0, "year": 2011}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 2.0, "year": 2011}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2011}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2011}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2011}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 2.0, "year": 2011}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2011}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 2.0, "year": 2011}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 3.0, "year": 2011}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 2.0, "year": 2011}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2011}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 2.0, "year": 2011}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2011}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2011}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 1.0, "year": 2011}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2011}, {"source": "15", "target": "17", "source_name": "vector space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2011}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2011}, {"source": "15", "target": "26", "source_name": "vector space", "target_name": "finite field", "weight": 2.0, "year": 2011}, {"source": "15", "target": "27", "source_name": "vector space", "target_name": "lie group", "weight": 1.0, "year": 2011}, {"source": "15", "target": "30", "source_name": "vector space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2011}, {"source": "15", "target": "31", "source_name": "vector space", "target_name": "flag variety", "weight": 2.0, "year": 2011}, {"source": "15", "target": "34", "source_name": "vector space", "target_name": "rational function", "weight": 1.0, "year": 2011}, {"source": "15", "target": "35", "source_name": "vector space", "target_name": "reductive group", "weight": 1.0, "year": 2011}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2011}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 5.0, "year": 2011}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 7.0, "year": 2011}, {"source": "16", "target": "24", "source_name": "moduli space", "target_name": "algebraic varieties", "weight": 2.0, "year": 2011}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2011}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 2.0, "year": 2011}, {"source": "16", "target": "27", "source_name": "moduli space", "target_name": "lie group", "weight": 1.0, "year": 2011}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2011}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2011}, {"source": "16", "target": "31", "source_name": "moduli space", "target_name": "flag variety", "weight": 3.0, "year": 2011}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 4.0, "year": 2011}, {"source": "16", "target": "35", "source_name": "moduli space", "target_name": "reductive group", "weight": 1.0, "year": 2011}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 7.0, "year": 2011}, {"source": "16", "target": "37", "source_name": "moduli space", "target_name": "riemann surfaces", "weight": 1.0, "year": 2011}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2011}, {"source": "17", "target": "20", "source_name": "dynkin diagram", "target_name": "gauge group", "weight": 2.0, "year": 2011}, {"source": "17", "target": "21", "source_name": "dynkin diagram", "target_name": "fixed point", "weight": 2.0, "year": 2011}, {"source": "17", "target": "22", "source_name": "dynkin diagram", "target_name": "gauge theory", "weight": 2.0, "year": 2011}, {"source": "17", "target": "28", "source_name": "dynkin diagram", "target_name": "string theory", "weight": 2.0, "year": 2011}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2011}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 1.0, "year": 2011}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2011}, {"source": "20", "target": "21", "source_name": "gauge group", "target_name": "fixed point", "weight": 3.0, "year": 2011}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 7.0, "year": 2011}, {"source": "20", "target": "28", "source_name": "gauge group", "target_name": "string theory", "weight": 2.0, "year": 2011}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 9.0, "year": 2011}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 6.0, "year": 2011}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2011}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2011}, {"source": "21", "target": "28", "source_name": "fixed point", "target_name": "string theory", "weight": 2.0, "year": 2011}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2011}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 6.0, "year": 2011}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 4.0, "year": 2011}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 2.0, "year": 2011}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 20.0, "year": 2011}, {"source": "22", "target": "37", "source_name": "gauge theory", "target_name": "riemann surfaces", "weight": 1.0, "year": 2011}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2011}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2011}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2011}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2011}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2011}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2011}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2011}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2011}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 1.0, "year": 2011}, {"source": "27", "target": "30", "source_name": "lie group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2011}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2011}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 2.0, "year": 2011}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2011}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2011}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2011}, {"source": "30", "target": "37", "source_name": "algebraic geometry", "target_name": "riemann surfaces", "weight": 1.0, "year": 2011}, {"source": "31", "target": "35", "source_name": "flag variety", "target_name": "reductive group", "weight": 1.0, "year": 2011}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2011}]}, {"2012": [{"source": "0", "target": "1", "source_name": "weyl group", "target_name": "directed graph", "weight": 1.0, "year": 2012}, {"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2012}, {"source": "0", "target": "10", "source_name": "weyl group", "target_name": "euler characteristic", "weight": 1.0, "year": 2012}, {"source": "0", "target": "11", "source_name": "weyl group", "target_name": "lie algebra", "weight": 1.0, "year": 2012}, {"source": "0", "target": "17", "source_name": "weyl group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2012}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2012}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 1.0, "year": 2012}, {"source": "0", "target": "33", "source_name": "weyl group", "target_name": "generating function", "weight": 2.0, "year": 2012}, {"source": "1", "target": "8", "source_name": "directed graph", "target_name": "quantum group", "weight": 1.0, "year": 2012}, {"source": "1", "target": "11", "source_name": "directed graph", "target_name": "lie algebra", "weight": 1.0, "year": 2012}, {"source": "1", "target": "15", "source_name": "directed graph", "target_name": "vector space", "weight": 1.0, "year": 2012}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 2.0, "year": 2012}, {"source": "1", "target": "30", "source_name": "directed graph", "target_name": "algebraic geometry", "weight": 1.0, "year": 2012}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 1.0, "year": 2012}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2012}, {"source": "2", "target": "9", "source_name": "stable representations", "target_name": "euclidean space", "weight": 1.0, "year": 2012}, {"source": "2", "target": "10", "source_name": "stable representations", "target_name": "euler characteristic", "weight": 1.0, "year": 2012}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2012}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 16.0, "year": 2012}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2012}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2012}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2012}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2012}, {"source": "2", "target": "31", "source_name": "stable representations", "target_name": "flag variety", "weight": 3.0, "year": 2012}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2012}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2012}, {"source": "3", "target": "16", "source_name": "projective variety", "target_name": "moduli space", "weight": 2.0, "year": 2012}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2012}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 1.0, "year": 2012}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2012}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2012}, {"source": "3", "target": "35", "source_name": "projective variety", "target_name": "reductive group", "weight": 2.0, "year": 2012}, {"source": "5", "target": "6", "source_name": "rational numbers", "target_name": "algebraic group", "weight": 1.0, "year": 2012}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2012}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2012}, {"source": "5", "target": "35", "source_name": "rational numbers", "target_name": "reductive group", "weight": 1.0, "year": 2012}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2012}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2012}, {"source": "6", "target": "16", "source_name": "algebraic group", "target_name": "moduli space", "weight": 1.0, "year": 2012}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2012}, {"source": "6", "target": "24", "source_name": "algebraic group", "target_name": "algebraic varieties", "weight": 1.0, "year": 2012}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2012}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2012}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2012}, {"source": "6", "target": "35", "source_name": "algebraic group", "target_name": "reductive group", "weight": 1.0, "year": 2012}, {"source": "7", "target": "10", "source_name": "dimension vectors", "target_name": "euler characteristic", "weight": 3.0, "year": 2012}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2012}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2012}, {"source": "7", "target": "15", "source_name": "dimension vectors", "target_name": "vector space", "weight": 1.0, "year": 2012}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 6.0, "year": 2012}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2012}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2012}, {"source": "7", "target": "31", "source_name": "dimension vectors", "target_name": "flag variety", "weight": 1.0, "year": 2012}, {"source": "7", "target": "35", "source_name": "dimension vectors", "target_name": "reductive group", "weight": 1.0, "year": 2012}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 9.0, "year": 2012}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 3.0, "year": 2012}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2012}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 4.0, "year": 2012}, {"source": "9", "target": "16", "source_name": "euclidean space", "target_name": "moduli space", "weight": 1.0, "year": 2012}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2012}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 3.0, "year": 2012}, {"source": "10", "target": "11", "source_name": "euler characteristic", "target_name": "lie algebra", "weight": 1.0, "year": 2012}, {"source": "10", "target": "12", "source_name": "euler characteristic", "target_name": "direct sum", "weight": 1.0, "year": 2012}, {"source": "10", "target": "16", "source_name": "euler characteristic", "target_name": "moduli space", "weight": 6.0, "year": 2012}, {"source": "10", "target": "23", "source_name": "euler characteristic", "target_name": "projective space", "weight": 1.0, "year": 2012}, {"source": "10", "target": "26", "source_name": "euler characteristic", "target_name": "finite field", "weight": 2.0, "year": 2012}, {"source": "10", "target": "30", "source_name": "euler characteristic", "target_name": "algebraic geometry", "weight": 1.0, "year": 2012}, {"source": "10", "target": "33", "source_name": "euler characteristic", "target_name": "generating function", "weight": 1.0, "year": 2012}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2012}, {"source": "11", "target": "15", "source_name": "lie algebra", "target_name": "vector space", "weight": 1.0, "year": 2012}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 1.0, "year": 2012}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2012}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2012}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 4.0, "year": 2012}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 2.0, "year": 2012}, {"source": "11", "target": "33", "source_name": "lie algebra", "target_name": "generating function", "weight": 1.0, "year": 2012}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2012}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2012}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2012}, {"source": "12", "target": "15", "source_name": "direct sum", "target_name": "vector space", "weight": 1.0, "year": 2012}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 2.0, "year": 2012}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2012}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2012}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2012}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 2.0, "year": 2012}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2012}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 2.0, "year": 2012}, {"source": "13", "target": "22", "source_name": "homogeneous space", "target_name": "gauge theory", "weight": 2.0, "year": 2012}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 3.0, "year": 2012}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 2.0, "year": 2012}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2012}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 2.0, "year": 2012}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2012}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2012}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 1.0, "year": 2012}, {"source": "14", "target": "33", "source_name": "cohomology ring", "target_name": "generating function", "weight": 1.0, "year": 2012}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2012}, {"source": "15", "target": "16", "source_name": "vector space", "target_name": "moduli space", "weight": 1.0, "year": 2012}, {"source": "15", "target": "17", "source_name": "vector space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2012}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2012}, {"source": "15", "target": "23", "source_name": "vector space", "target_name": "projective space", "weight": 1.0, "year": 2012}, {"source": "15", "target": "26", "source_name": "vector space", "target_name": "finite field", "weight": 2.0, "year": 2012}, {"source": "15", "target": "27", "source_name": "vector space", "target_name": "lie group", "weight": 1.0, "year": 2012}, {"source": "15", "target": "30", "source_name": "vector space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2012}, {"source": "15", "target": "31", "source_name": "vector space", "target_name": "flag variety", "weight": 2.0, "year": 2012}, {"source": "15", "target": "34", "source_name": "vector space", "target_name": "rational function", "weight": 1.0, "year": 2012}, {"source": "15", "target": "35", "source_name": "vector space", "target_name": "reductive group", "weight": 1.0, "year": 2012}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2012}, {"source": "16", "target": "20", "source_name": "moduli space", "target_name": "gauge group", "weight": 2.0, "year": 2012}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 5.0, "year": 2012}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 8.0, "year": 2012}, {"source": "16", "target": "24", "source_name": "moduli space", "target_name": "algebraic varieties", "weight": 2.0, "year": 2012}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2012}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 5.0, "year": 2012}, {"source": "16", "target": "27", "source_name": "moduli space", "target_name": "lie group", "weight": 1.0, "year": 2012}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2012}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2012}, {"source": "16", "target": "31", "source_name": "moduli space", "target_name": "flag variety", "weight": 3.0, "year": 2012}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 4.0, "year": 2012}, {"source": "16", "target": "35", "source_name": "moduli space", "target_name": "reductive group", "weight": 4.0, "year": 2012}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 7.0, "year": 2012}, {"source": "16", "target": "37", "source_name": "moduli space", "target_name": "riemann surfaces", "weight": 1.0, "year": 2012}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2012}, {"source": "17", "target": "20", "source_name": "dynkin diagram", "target_name": "gauge group", "weight": 2.0, "year": 2012}, {"source": "17", "target": "21", "source_name": "dynkin diagram", "target_name": "fixed point", "weight": 2.0, "year": 2012}, {"source": "17", "target": "22", "source_name": "dynkin diagram", "target_name": "gauge theory", "weight": 2.0, "year": 2012}, {"source": "17", "target": "28", "source_name": "dynkin diagram", "target_name": "string theory", "weight": 2.0, "year": 2012}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2012}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 1.0, "year": 2012}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2012}, {"source": "20", "target": "21", "source_name": "gauge group", "target_name": "fixed point", "weight": 3.0, "year": 2012}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 7.0, "year": 2012}, {"source": "20", "target": "28", "source_name": "gauge group", "target_name": "string theory", "weight": 4.0, "year": 2012}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 9.0, "year": 2012}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 6.0, "year": 2012}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2012}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2012}, {"source": "21", "target": "28", "source_name": "fixed point", "target_name": "string theory", "weight": 2.0, "year": 2012}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2012}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 8.0, "year": 2012}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 4.0, "year": 2012}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 2.0, "year": 2012}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 20.0, "year": 2012}, {"source": "22", "target": "37", "source_name": "gauge theory", "target_name": "riemann surfaces", "weight": 1.0, "year": 2012}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2012}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2012}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2012}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2012}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2012}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2012}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2012}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2012}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 4.0, "year": 2012}, {"source": "27", "target": "30", "source_name": "lie group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2012}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2012}, {"source": "27", "target": "39", "source_name": "lie group", "target_name": "hilbert space", "weight": 1.0, "year": 2012}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 2.0, "year": 2012}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2012}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2012}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2012}, {"source": "30", "target": "37", "source_name": "algebraic geometry", "target_name": "riemann surfaces", "weight": 1.0, "year": 2012}, {"source": "31", "target": "35", "source_name": "flag variety", "target_name": "reductive group", "weight": 1.0, "year": 2012}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2012}]}, {"2013": [{"source": "0", "target": "1", "source_name": "weyl group", "target_name": "directed graph", "weight": 1.0, "year": 2013}, {"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2013}, {"source": "0", "target": "10", "source_name": "weyl group", "target_name": "euler characteristic", "weight": 1.0, "year": 2013}, {"source": "0", "target": "11", "source_name": "weyl group", "target_name": "lie algebra", "weight": 1.0, "year": 2013}, {"source": "0", "target": "13", "source_name": "weyl group", "target_name": "homogeneous space", "weight": 1.0, "year": 2013}, {"source": "0", "target": "17", "source_name": "weyl group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2013}, {"source": "0", "target": "21", "source_name": "weyl group", "target_name": "fixed point", "weight": 1.0, "year": 2013}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2013}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 1.0, "year": 2013}, {"source": "0", "target": "33", "source_name": "weyl group", "target_name": "generating function", "weight": 3.0, "year": 2013}, {"source": "1", "target": "8", "source_name": "directed graph", "target_name": "quantum group", "weight": 1.0, "year": 2013}, {"source": "1", "target": "11", "source_name": "directed graph", "target_name": "lie algebra", "weight": 1.0, "year": 2013}, {"source": "1", "target": "15", "source_name": "directed graph", "target_name": "vector space", "weight": 1.0, "year": 2013}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 2.0, "year": 2013}, {"source": "1", "target": "30", "source_name": "directed graph", "target_name": "algebraic geometry", "weight": 1.0, "year": 2013}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 1.0, "year": 2013}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2013}, {"source": "2", "target": "9", "source_name": "stable representations", "target_name": "euclidean space", "weight": 1.0, "year": 2013}, {"source": "2", "target": "10", "source_name": "stable representations", "target_name": "euler characteristic", "weight": 1.0, "year": 2013}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2013}, {"source": "2", "target": "12", "source_name": "stable representations", "target_name": "direct sum", "weight": 2.0, "year": 2013}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 16.0, "year": 2013}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2013}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2013}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2013}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2013}, {"source": "2", "target": "31", "source_name": "stable representations", "target_name": "flag variety", "weight": 3.0, "year": 2013}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2013}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2013}, {"source": "3", "target": "16", "source_name": "projective variety", "target_name": "moduli space", "weight": 2.0, "year": 2013}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2013}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 1.0, "year": 2013}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2013}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2013}, {"source": "3", "target": "35", "source_name": "projective variety", "target_name": "reductive group", "weight": 2.0, "year": 2013}, {"source": "5", "target": "6", "source_name": "rational numbers", "target_name": "algebraic group", "weight": 1.0, "year": 2013}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2013}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2013}, {"source": "5", "target": "35", "source_name": "rational numbers", "target_name": "reductive group", "weight": 1.0, "year": 2013}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2013}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2013}, {"source": "6", "target": "16", "source_name": "algebraic group", "target_name": "moduli space", "weight": 2.0, "year": 2013}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2013}, {"source": "6", "target": "24", "source_name": "algebraic group", "target_name": "algebraic varieties", "weight": 1.0, "year": 2013}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2013}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2013}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2013}, {"source": "6", "target": "35", "source_name": "algebraic group", "target_name": "reductive group", "weight": 1.0, "year": 2013}, {"source": "7", "target": "10", "source_name": "dimension vectors", "target_name": "euler characteristic", "weight": 3.0, "year": 2013}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2013}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2013}, {"source": "7", "target": "15", "source_name": "dimension vectors", "target_name": "vector space", "weight": 1.0, "year": 2013}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 6.0, "year": 2013}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2013}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2013}, {"source": "7", "target": "30", "source_name": "dimension vectors", "target_name": "algebraic geometry", "weight": 1.0, "year": 2013}, {"source": "7", "target": "31", "source_name": "dimension vectors", "target_name": "flag variety", "weight": 1.0, "year": 2013}, {"source": "7", "target": "35", "source_name": "dimension vectors", "target_name": "reductive group", "weight": 1.0, "year": 2013}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 9.0, "year": 2013}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 3.0, "year": 2013}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2013}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 4.0, "year": 2013}, {"source": "9", "target": "16", "source_name": "euclidean space", "target_name": "moduli space", "weight": 1.0, "year": 2013}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2013}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 3.0, "year": 2013}, {"source": "10", "target": "11", "source_name": "euler characteristic", "target_name": "lie algebra", "weight": 1.0, "year": 2013}, {"source": "10", "target": "12", "source_name": "euler characteristic", "target_name": "direct sum", "weight": 1.0, "year": 2013}, {"source": "10", "target": "16", "source_name": "euler characteristic", "target_name": "moduli space", "weight": 6.0, "year": 2013}, {"source": "10", "target": "23", "source_name": "euler characteristic", "target_name": "projective space", "weight": 1.0, "year": 2013}, {"source": "10", "target": "26", "source_name": "euler characteristic", "target_name": "finite field", "weight": 2.0, "year": 2013}, {"source": "10", "target": "30", "source_name": "euler characteristic", "target_name": "algebraic geometry", "weight": 1.0, "year": 2013}, {"source": "10", "target": "33", "source_name": "euler characteristic", "target_name": "generating function", "weight": 1.0, "year": 2013}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2013}, {"source": "11", "target": "15", "source_name": "lie algebra", "target_name": "vector space", "weight": 1.0, "year": 2013}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 1.0, "year": 2013}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2013}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2013}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 4.0, "year": 2013}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 2.0, "year": 2013}, {"source": "11", "target": "33", "source_name": "lie algebra", "target_name": "generating function", "weight": 1.0, "year": 2013}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2013}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2013}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2013}, {"source": "12", "target": "15", "source_name": "direct sum", "target_name": "vector space", "weight": 1.0, "year": 2013}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 2.0, "year": 2013}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2013}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2013}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2013}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 2.0, "year": 2013}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2013}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 2.0, "year": 2013}, {"source": "13", "target": "21", "source_name": "homogeneous space", "target_name": "fixed point", "weight": 1.0, "year": 2013}, {"source": "13", "target": "22", "source_name": "homogeneous space", "target_name": "gauge theory", "weight": 2.0, "year": 2013}, {"source": "13", "target": "34", "source_name": "homogeneous space", "target_name": "rational function", "weight": 1.0, "year": 2013}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 3.0, "year": 2013}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 3.0, "year": 2013}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2013}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 2.0, "year": 2013}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2013}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2013}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 1.0, "year": 2013}, {"source": "14", "target": "33", "source_name": "cohomology ring", "target_name": "generating function", "weight": 1.0, "year": 2013}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2013}, {"source": "15", "target": "16", "source_name": "vector space", "target_name": "moduli space", "weight": 1.0, "year": 2013}, {"source": "15", "target": "17", "source_name": "vector space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2013}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2013}, {"source": "15", "target": "23", "source_name": "vector space", "target_name": "projective space", "weight": 1.0, "year": 2013}, {"source": "15", "target": "26", "source_name": "vector space", "target_name": "finite field", "weight": 2.0, "year": 2013}, {"source": "15", "target": "27", "source_name": "vector space", "target_name": "lie group", "weight": 1.0, "year": 2013}, {"source": "15", "target": "30", "source_name": "vector space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2013}, {"source": "15", "target": "31", "source_name": "vector space", "target_name": "flag variety", "weight": 2.0, "year": 2013}, {"source": "15", "target": "34", "source_name": "vector space", "target_name": "rational function", "weight": 1.0, "year": 2013}, {"source": "15", "target": "35", "source_name": "vector space", "target_name": "reductive group", "weight": 1.0, "year": 2013}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2013}, {"source": "16", "target": "20", "source_name": "moduli space", "target_name": "gauge group", "weight": 2.0, "year": 2013}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 5.0, "year": 2013}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 8.0, "year": 2013}, {"source": "16", "target": "24", "source_name": "moduli space", "target_name": "algebraic varieties", "weight": 2.0, "year": 2013}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2013}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 5.0, "year": 2013}, {"source": "16", "target": "27", "source_name": "moduli space", "target_name": "lie group", "weight": 1.0, "year": 2013}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2013}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2013}, {"source": "16", "target": "31", "source_name": "moduli space", "target_name": "flag variety", "weight": 3.0, "year": 2013}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 4.0, "year": 2013}, {"source": "16", "target": "34", "source_name": "moduli space", "target_name": "rational function", "weight": 1.0, "year": 2013}, {"source": "16", "target": "35", "source_name": "moduli space", "target_name": "reductive group", "weight": 5.0, "year": 2013}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 7.0, "year": 2013}, {"source": "16", "target": "37", "source_name": "moduli space", "target_name": "riemann surfaces", "weight": 1.0, "year": 2013}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2013}, {"source": "17", "target": "20", "source_name": "dynkin diagram", "target_name": "gauge group", "weight": 2.0, "year": 2013}, {"source": "17", "target": "21", "source_name": "dynkin diagram", "target_name": "fixed point", "weight": 2.0, "year": 2013}, {"source": "17", "target": "22", "source_name": "dynkin diagram", "target_name": "gauge theory", "weight": 2.0, "year": 2013}, {"source": "17", "target": "28", "source_name": "dynkin diagram", "target_name": "string theory", "weight": 2.0, "year": 2013}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2013}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 1.0, "year": 2013}, {"source": "19", "target": "20", "source_name": "symmetric group", "target_name": "gauge group", "weight": 2.0, "year": 2013}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2013}, {"source": "19", "target": "36", "source_name": "symmetric group", "target_name": "gauge theories", "weight": 2.0, "year": 2013}, {"source": "19", "target": "37", "source_name": "symmetric group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2013}, {"source": "20", "target": "21", "source_name": "gauge group", "target_name": "fixed point", "weight": 3.0, "year": 2013}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 7.0, "year": 2013}, {"source": "20", "target": "28", "source_name": "gauge group", "target_name": "string theory", "weight": 4.0, "year": 2013}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 11.0, "year": 2013}, {"source": "20", "target": "37", "source_name": "gauge group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2013}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 6.0, "year": 2013}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2013}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2013}, {"source": "21", "target": "28", "source_name": "fixed point", "target_name": "string theory", "weight": 2.0, "year": 2013}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2013}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 8.0, "year": 2013}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 4.0, "year": 2013}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 2.0, "year": 2013}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 20.0, "year": 2013}, {"source": "22", "target": "37", "source_name": "gauge theory", "target_name": "riemann surfaces", "weight": 1.0, "year": 2013}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2013}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2013}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2013}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2013}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2013}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2013}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2013}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2013}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 4.0, "year": 2013}, {"source": "27", "target": "30", "source_name": "lie group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2013}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2013}, {"source": "27", "target": "39", "source_name": "lie group", "target_name": "hilbert space", "weight": 1.0, "year": 2013}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 2.0, "year": 2013}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2013}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2013}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2013}, {"source": "30", "target": "37", "source_name": "algebraic geometry", "target_name": "riemann surfaces", "weight": 1.0, "year": 2013}, {"source": "31", "target": "35", "source_name": "flag variety", "target_name": "reductive group", "weight": 1.0, "year": 2013}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2013}, {"source": "36", "target": "37", "source_name": "gauge theories", "target_name": "riemann surfaces", "weight": 2.0, "year": 2013}]}, {"2014": [{"source": "0", "target": "1", "source_name": "weyl group", "target_name": "directed graph", "weight": 1.0, "year": 2014}, {"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2014}, {"source": "0", "target": "10", "source_name": "weyl group", "target_name": "euler characteristic", "weight": 1.0, "year": 2014}, {"source": "0", "target": "11", "source_name": "weyl group", "target_name": "lie algebra", "weight": 1.0, "year": 2014}, {"source": "0", "target": "13", "source_name": "weyl group", "target_name": "homogeneous space", "weight": 1.0, "year": 2014}, {"source": "0", "target": "17", "source_name": "weyl group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2014}, {"source": "0", "target": "21", "source_name": "weyl group", "target_name": "fixed point", "weight": 1.0, "year": 2014}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2014}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 1.0, "year": 2014}, {"source": "0", "target": "33", "source_name": "weyl group", "target_name": "generating function", "weight": 3.0, "year": 2014}, {"source": "1", "target": "8", "source_name": "directed graph", "target_name": "quantum group", "weight": 1.0, "year": 2014}, {"source": "1", "target": "11", "source_name": "directed graph", "target_name": "lie algebra", "weight": 1.0, "year": 2014}, {"source": "1", "target": "15", "source_name": "directed graph", "target_name": "vector space", "weight": 1.0, "year": 2014}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 2.0, "year": 2014}, {"source": "1", "target": "30", "source_name": "directed graph", "target_name": "algebraic geometry", "weight": 1.0, "year": 2014}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 1.0, "year": 2014}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2014}, {"source": "2", "target": "9", "source_name": "stable representations", "target_name": "euclidean space", "weight": 1.0, "year": 2014}, {"source": "2", "target": "10", "source_name": "stable representations", "target_name": "euler characteristic", "weight": 1.0, "year": 2014}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2014}, {"source": "2", "target": "12", "source_name": "stable representations", "target_name": "direct sum", "weight": 2.0, "year": 2014}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 16.0, "year": 2014}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2014}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2014}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2014}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2014}, {"source": "2", "target": "31", "source_name": "stable representations", "target_name": "flag variety", "weight": 3.0, "year": 2014}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2014}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2014}, {"source": "3", "target": "16", "source_name": "projective variety", "target_name": "moduli space", "weight": 3.0, "year": 2014}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2014}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 2.0, "year": 2014}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2014}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2014}, {"source": "3", "target": "35", "source_name": "projective variety", "target_name": "reductive group", "weight": 2.0, "year": 2014}, {"source": "5", "target": "6", "source_name": "rational numbers", "target_name": "algebraic group", "weight": 4.0, "year": 2014}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2014}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2014}, {"source": "5", "target": "35", "source_name": "rational numbers", "target_name": "reductive group", "weight": 4.0, "year": 2014}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2014}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2014}, {"source": "6", "target": "16", "source_name": "algebraic group", "target_name": "moduli space", "weight": 2.0, "year": 2014}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2014}, {"source": "6", "target": "24", "source_name": "algebraic group", "target_name": "algebraic varieties", "weight": 1.0, "year": 2014}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2014}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2014}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2014}, {"source": "6", "target": "35", "source_name": "algebraic group", "target_name": "reductive group", "weight": 4.0, "year": 2014}, {"source": "7", "target": "10", "source_name": "dimension vectors", "target_name": "euler characteristic", "weight": 3.0, "year": 2014}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2014}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2014}, {"source": "7", "target": "15", "source_name": "dimension vectors", "target_name": "vector space", "weight": 1.0, "year": 2014}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 7.0, "year": 2014}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2014}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2014}, {"source": "7", "target": "30", "source_name": "dimension vectors", "target_name": "algebraic geometry", "weight": 1.0, "year": 2014}, {"source": "7", "target": "31", "source_name": "dimension vectors", "target_name": "flag variety", "weight": 1.0, "year": 2014}, {"source": "7", "target": "35", "source_name": "dimension vectors", "target_name": "reductive group", "weight": 1.0, "year": 2014}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 10.0, "year": 2014}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 3.0, "year": 2014}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2014}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 4.0, "year": 2014}, {"source": "9", "target": "13", "source_name": "euclidean space", "target_name": "homogeneous space", "weight": 1.0, "year": 2014}, {"source": "9", "target": "16", "source_name": "euclidean space", "target_name": "moduli space", "weight": 1.0, "year": 2014}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2014}, {"source": "9", "target": "36", "source_name": "euclidean space", "target_name": "gauge theories", "weight": 1.0, "year": 2014}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 5.0, "year": 2014}, {"source": "10", "target": "11", "source_name": "euler characteristic", "target_name": "lie algebra", "weight": 1.0, "year": 2014}, {"source": "10", "target": "12", "source_name": "euler characteristic", "target_name": "direct sum", "weight": 1.0, "year": 2014}, {"source": "10", "target": "16", "source_name": "euler characteristic", "target_name": "moduli space", "weight": 6.0, "year": 2014}, {"source": "10", "target": "23", "source_name": "euler characteristic", "target_name": "projective space", "weight": 1.0, "year": 2014}, {"source": "10", "target": "26", "source_name": "euler characteristic", "target_name": "finite field", "weight": 2.0, "year": 2014}, {"source": "10", "target": "30", "source_name": "euler characteristic", "target_name": "algebraic geometry", "weight": 1.0, "year": 2014}, {"source": "10", "target": "33", "source_name": "euler characteristic", "target_name": "generating function", "weight": 1.0, "year": 2014}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2014}, {"source": "11", "target": "15", "source_name": "lie algebra", "target_name": "vector space", "weight": 1.0, "year": 2014}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 1.0, "year": 2014}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2014}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2014}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 4.0, "year": 2014}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 2.0, "year": 2014}, {"source": "11", "target": "33", "source_name": "lie algebra", "target_name": "generating function", "weight": 1.0, "year": 2014}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2014}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2014}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2014}, {"source": "12", "target": "15", "source_name": "direct sum", "target_name": "vector space", "weight": 1.0, "year": 2014}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 2.0, "year": 2014}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2014}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2014}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2014}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 4.0, "year": 2014}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2014}, {"source": "12", "target": "39", "source_name": "direct sum", "target_name": "hilbert space", "weight": 2.0, "year": 2014}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 2.0, "year": 2014}, {"source": "13", "target": "16", "source_name": "homogeneous space", "target_name": "moduli space", "weight": 1.0, "year": 2014}, {"source": "13", "target": "21", "source_name": "homogeneous space", "target_name": "fixed point", "weight": 1.0, "year": 2014}, {"source": "13", "target": "22", "source_name": "homogeneous space", "target_name": "gauge theory", "weight": 2.0, "year": 2014}, {"source": "13", "target": "23", "source_name": "homogeneous space", "target_name": "projective space", "weight": 1.0, "year": 2014}, {"source": "13", "target": "34", "source_name": "homogeneous space", "target_name": "rational function", "weight": 1.0, "year": 2014}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 3.0, "year": 2014}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 3.0, "year": 2014}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2014}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 2.0, "year": 2014}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2014}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2014}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 1.0, "year": 2014}, {"source": "14", "target": "33", "source_name": "cohomology ring", "target_name": "generating function", "weight": 1.0, "year": 2014}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2014}, {"source": "15", "target": "16", "source_name": "vector space", "target_name": "moduli space", "weight": 1.0, "year": 2014}, {"source": "15", "target": "17", "source_name": "vector space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2014}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2014}, {"source": "15", "target": "23", "source_name": "vector space", "target_name": "projective space", "weight": 1.0, "year": 2014}, {"source": "15", "target": "26", "source_name": "vector space", "target_name": "finite field", "weight": 2.0, "year": 2014}, {"source": "15", "target": "27", "source_name": "vector space", "target_name": "lie group", "weight": 1.0, "year": 2014}, {"source": "15", "target": "30", "source_name": "vector space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2014}, {"source": "15", "target": "31", "source_name": "vector space", "target_name": "flag variety", "weight": 2.0, "year": 2014}, {"source": "15", "target": "34", "source_name": "vector space", "target_name": "rational function", "weight": 1.0, "year": 2014}, {"source": "15", "target": "35", "source_name": "vector space", "target_name": "reductive group", "weight": 1.0, "year": 2014}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2014}, {"source": "16", "target": "20", "source_name": "moduli space", "target_name": "gauge group", "weight": 2.0, "year": 2014}, {"source": "16", "target": "21", "source_name": "moduli space", "target_name": "fixed point", "weight": 2.0, "year": 2014}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 5.0, "year": 2014}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 11.0, "year": 2014}, {"source": "16", "target": "24", "source_name": "moduli space", "target_name": "algebraic varieties", "weight": 2.0, "year": 2014}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2014}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 5.0, "year": 2014}, {"source": "16", "target": "27", "source_name": "moduli space", "target_name": "lie group", "weight": 1.0, "year": 2014}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2014}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2014}, {"source": "16", "target": "31", "source_name": "moduli space", "target_name": "flag variety", "weight": 3.0, "year": 2014}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 4.0, "year": 2014}, {"source": "16", "target": "34", "source_name": "moduli space", "target_name": "rational function", "weight": 1.0, "year": 2014}, {"source": "16", "target": "35", "source_name": "moduli space", "target_name": "reductive group", "weight": 5.0, "year": 2014}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 7.0, "year": 2014}, {"source": "16", "target": "37", "source_name": "moduli space", "target_name": "riemann surfaces", "weight": 1.0, "year": 2014}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2014}, {"source": "17", "target": "20", "source_name": "dynkin diagram", "target_name": "gauge group", "weight": 2.0, "year": 2014}, {"source": "17", "target": "21", "source_name": "dynkin diagram", "target_name": "fixed point", "weight": 2.0, "year": 2014}, {"source": "17", "target": "22", "source_name": "dynkin diagram", "target_name": "gauge theory", "weight": 2.0, "year": 2014}, {"source": "17", "target": "28", "source_name": "dynkin diagram", "target_name": "string theory", "weight": 2.0, "year": 2014}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2014}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 1.0, "year": 2014}, {"source": "19", "target": "20", "source_name": "symmetric group", "target_name": "gauge group", "weight": 2.0, "year": 2014}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2014}, {"source": "19", "target": "36", "source_name": "symmetric group", "target_name": "gauge theories", "weight": 2.0, "year": 2014}, {"source": "19", "target": "37", "source_name": "symmetric group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2014}, {"source": "20", "target": "21", "source_name": "gauge group", "target_name": "fixed point", "weight": 3.0, "year": 2014}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 7.0, "year": 2014}, {"source": "20", "target": "28", "source_name": "gauge group", "target_name": "string theory", "weight": 4.0, "year": 2014}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 13.0, "year": 2014}, {"source": "20", "target": "37", "source_name": "gauge group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2014}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 6.0, "year": 2014}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2014}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2014}, {"source": "21", "target": "28", "source_name": "fixed point", "target_name": "string theory", "weight": 2.0, "year": 2014}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2014}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 8.0, "year": 2014}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 4.0, "year": 2014}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 2.0, "year": 2014}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 20.0, "year": 2014}, {"source": "22", "target": "37", "source_name": "gauge theory", "target_name": "riemann surfaces", "weight": 1.0, "year": 2014}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2014}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2014}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2014}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2014}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2014}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2014}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2014}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2014}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 4.0, "year": 2014}, {"source": "27", "target": "30", "source_name": "lie group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2014}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2014}, {"source": "27", "target": "39", "source_name": "lie group", "target_name": "hilbert space", "weight": 3.0, "year": 2014}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 2.0, "year": 2014}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2014}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2014}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2014}, {"source": "30", "target": "37", "source_name": "algebraic geometry", "target_name": "riemann surfaces", "weight": 1.0, "year": 2014}, {"source": "31", "target": "35", "source_name": "flag variety", "target_name": "reductive group", "weight": 1.0, "year": 2014}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2014}, {"source": "36", "target": "37", "source_name": "gauge theories", "target_name": "riemann surfaces", "weight": 2.0, "year": 2014}, {"source": "38", "target": "39", "source_name": "abelian group", "target_name": "hilbert space", "weight": 2.0, "year": 2014}]}, {"2015": [{"source": "0", "target": "1", "source_name": "weyl group", "target_name": "directed graph", "weight": 1.0, "year": 2015}, {"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2015}, {"source": "0", "target": "10", "source_name": "weyl group", "target_name": "euler characteristic", "weight": 1.0, "year": 2015}, {"source": "0", "target": "11", "source_name": "weyl group", "target_name": "lie algebra", "weight": 1.0, "year": 2015}, {"source": "0", "target": "13", "source_name": "weyl group", "target_name": "homogeneous space", "weight": 1.0, "year": 2015}, {"source": "0", "target": "16", "source_name": "weyl group", "target_name": "moduli space", "weight": 1.0, "year": 2015}, {"source": "0", "target": "17", "source_name": "weyl group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2015}, {"source": "0", "target": "21", "source_name": "weyl group", "target_name": "fixed point", "weight": 1.0, "year": 2015}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2015}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 1.0, "year": 2015}, {"source": "0", "target": "33", "source_name": "weyl group", "target_name": "generating function", "weight": 3.0, "year": 2015}, {"source": "0", "target": "35", "source_name": "weyl group", "target_name": "reductive group", "weight": 1.0, "year": 2015}, {"source": "1", "target": "8", "source_name": "directed graph", "target_name": "quantum group", "weight": 1.0, "year": 2015}, {"source": "1", "target": "11", "source_name": "directed graph", "target_name": "lie algebra", "weight": 1.0, "year": 2015}, {"source": "1", "target": "15", "source_name": "directed graph", "target_name": "vector space", "weight": 1.0, "year": 2015}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 2.0, "year": 2015}, {"source": "1", "target": "30", "source_name": "directed graph", "target_name": "algebraic geometry", "weight": 1.0, "year": 2015}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 1.0, "year": 2015}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2015}, {"source": "2", "target": "9", "source_name": "stable representations", "target_name": "euclidean space", "weight": 1.0, "year": 2015}, {"source": "2", "target": "10", "source_name": "stable representations", "target_name": "euler characteristic", "weight": 1.0, "year": 2015}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2015}, {"source": "2", "target": "12", "source_name": "stable representations", "target_name": "direct sum", "weight": 2.0, "year": 2015}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 16.0, "year": 2015}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2015}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2015}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2015}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2015}, {"source": "2", "target": "31", "source_name": "stable representations", "target_name": "flag variety", "weight": 3.0, "year": 2015}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2015}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2015}, {"source": "3", "target": "16", "source_name": "projective variety", "target_name": "moduli space", "weight": 3.0, "year": 2015}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2015}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 2.0, "year": 2015}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2015}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2015}, {"source": "3", "target": "35", "source_name": "projective variety", "target_name": "reductive group", "weight": 2.0, "year": 2015}, {"source": "5", "target": "6", "source_name": "rational numbers", "target_name": "algebraic group", "weight": 4.0, "year": 2015}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2015}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2015}, {"source": "5", "target": "35", "source_name": "rational numbers", "target_name": "reductive group", "weight": 4.0, "year": 2015}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2015}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2015}, {"source": "6", "target": "16", "source_name": "algebraic group", "target_name": "moduli space", "weight": 2.0, "year": 2015}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2015}, {"source": "6", "target": "24", "source_name": "algebraic group", "target_name": "algebraic varieties", "weight": 1.0, "year": 2015}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2015}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2015}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2015}, {"source": "6", "target": "35", "source_name": "algebraic group", "target_name": "reductive group", "weight": 4.0, "year": 2015}, {"source": "7", "target": "10", "source_name": "dimension vectors", "target_name": "euler characteristic", "weight": 3.0, "year": 2015}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2015}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2015}, {"source": "7", "target": "15", "source_name": "dimension vectors", "target_name": "vector space", "weight": 1.0, "year": 2015}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 7.0, "year": 2015}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2015}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2015}, {"source": "7", "target": "30", "source_name": "dimension vectors", "target_name": "algebraic geometry", "weight": 1.0, "year": 2015}, {"source": "7", "target": "31", "source_name": "dimension vectors", "target_name": "flag variety", "weight": 1.0, "year": 2015}, {"source": "7", "target": "35", "source_name": "dimension vectors", "target_name": "reductive group", "weight": 1.0, "year": 2015}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 10.0, "year": 2015}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 3.0, "year": 2015}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2015}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 4.0, "year": 2015}, {"source": "8", "target": "34", "source_name": "quantum group", "target_name": "rational function", "weight": 1.0, "year": 2015}, {"source": "9", "target": "13", "source_name": "euclidean space", "target_name": "homogeneous space", "weight": 1.0, "year": 2015}, {"source": "9", "target": "16", "source_name": "euclidean space", "target_name": "moduli space", "weight": 1.0, "year": 2015}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2015}, {"source": "9", "target": "36", "source_name": "euclidean space", "target_name": "gauge theories", "weight": 1.0, "year": 2015}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 5.0, "year": 2015}, {"source": "10", "target": "11", "source_name": "euler characteristic", "target_name": "lie algebra", "weight": 1.0, "year": 2015}, {"source": "10", "target": "12", "source_name": "euler characteristic", "target_name": "direct sum", "weight": 1.0, "year": 2015}, {"source": "10", "target": "16", "source_name": "euler characteristic", "target_name": "moduli space", "weight": 7.0, "year": 2015}, {"source": "10", "target": "21", "source_name": "euler characteristic", "target_name": "fixed point", "weight": 1.0, "year": 2015}, {"source": "10", "target": "23", "source_name": "euler characteristic", "target_name": "projective space", "weight": 1.0, "year": 2015}, {"source": "10", "target": "26", "source_name": "euler characteristic", "target_name": "finite field", "weight": 2.0, "year": 2015}, {"source": "10", "target": "30", "source_name": "euler characteristic", "target_name": "algebraic geometry", "weight": 1.0, "year": 2015}, {"source": "10", "target": "33", "source_name": "euler characteristic", "target_name": "generating function", "weight": 4.0, "year": 2015}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2015}, {"source": "11", "target": "15", "source_name": "lie algebra", "target_name": "vector space", "weight": 1.0, "year": 2015}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 1.0, "year": 2015}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2015}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2015}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 4.0, "year": 2015}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 2.0, "year": 2015}, {"source": "11", "target": "33", "source_name": "lie algebra", "target_name": "generating function", "weight": 1.0, "year": 2015}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2015}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2015}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2015}, {"source": "12", "target": "15", "source_name": "direct sum", "target_name": "vector space", "weight": 1.0, "year": 2015}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 2.0, "year": 2015}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2015}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2015}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2015}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 4.0, "year": 2015}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2015}, {"source": "12", "target": "39", "source_name": "direct sum", "target_name": "hilbert space", "weight": 2.0, "year": 2015}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 2.0, "year": 2015}, {"source": "13", "target": "16", "source_name": "homogeneous space", "target_name": "moduli space", "weight": 1.0, "year": 2015}, {"source": "13", "target": "21", "source_name": "homogeneous space", "target_name": "fixed point", "weight": 1.0, "year": 2015}, {"source": "13", "target": "22", "source_name": "homogeneous space", "target_name": "gauge theory", "weight": 2.0, "year": 2015}, {"source": "13", "target": "23", "source_name": "homogeneous space", "target_name": "projective space", "weight": 1.0, "year": 2015}, {"source": "13", "target": "34", "source_name": "homogeneous space", "target_name": "rational function", "weight": 1.0, "year": 2015}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 4.0, "year": 2015}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 4.0, "year": 2015}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2015}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 2.0, "year": 2015}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2015}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2015}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 1.0, "year": 2015}, {"source": "14", "target": "33", "source_name": "cohomology ring", "target_name": "generating function", "weight": 1.0, "year": 2015}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2015}, {"source": "15", "target": "16", "source_name": "vector space", "target_name": "moduli space", "weight": 1.0, "year": 2015}, {"source": "15", "target": "17", "source_name": "vector space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2015}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2015}, {"source": "15", "target": "23", "source_name": "vector space", "target_name": "projective space", "weight": 2.0, "year": 2015}, {"source": "15", "target": "26", "source_name": "vector space", "target_name": "finite field", "weight": 2.0, "year": 2015}, {"source": "15", "target": "27", "source_name": "vector space", "target_name": "lie group", "weight": 1.0, "year": 2015}, {"source": "15", "target": "30", "source_name": "vector space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2015}, {"source": "15", "target": "31", "source_name": "vector space", "target_name": "flag variety", "weight": 2.0, "year": 2015}, {"source": "15", "target": "34", "source_name": "vector space", "target_name": "rational function", "weight": 1.0, "year": 2015}, {"source": "15", "target": "35", "source_name": "vector space", "target_name": "reductive group", "weight": 1.0, "year": 2015}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2015}, {"source": "16", "target": "20", "source_name": "moduli space", "target_name": "gauge group", "weight": 2.0, "year": 2015}, {"source": "16", "target": "21", "source_name": "moduli space", "target_name": "fixed point", "weight": 3.0, "year": 2015}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 5.0, "year": 2015}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 11.0, "year": 2015}, {"source": "16", "target": "24", "source_name": "moduli space", "target_name": "algebraic varieties", "weight": 2.0, "year": 2015}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2015}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 5.0, "year": 2015}, {"source": "16", "target": "27", "source_name": "moduli space", "target_name": "lie group", "weight": 1.0, "year": 2015}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2015}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 4.0, "year": 2015}, {"source": "16", "target": "31", "source_name": "moduli space", "target_name": "flag variety", "weight": 3.0, "year": 2015}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 5.0, "year": 2015}, {"source": "16", "target": "34", "source_name": "moduli space", "target_name": "rational function", "weight": 1.0, "year": 2015}, {"source": "16", "target": "35", "source_name": "moduli space", "target_name": "reductive group", "weight": 6.0, "year": 2015}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 7.0, "year": 2015}, {"source": "16", "target": "37", "source_name": "moduli space", "target_name": "riemann surfaces", "weight": 1.0, "year": 2015}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2015}, {"source": "17", "target": "20", "source_name": "dynkin diagram", "target_name": "gauge group", "weight": 4.0, "year": 2015}, {"source": "17", "target": "21", "source_name": "dynkin diagram", "target_name": "fixed point", "weight": 2.0, "year": 2015}, {"source": "17", "target": "22", "source_name": "dynkin diagram", "target_name": "gauge theory", "weight": 2.0, "year": 2015}, {"source": "17", "target": "28", "source_name": "dynkin diagram", "target_name": "string theory", "weight": 2.0, "year": 2015}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2015}, {"source": "17", "target": "36", "source_name": "dynkin diagram", "target_name": "gauge theories", "weight": 2.0, "year": 2015}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 1.0, "year": 2015}, {"source": "19", "target": "20", "source_name": "symmetric group", "target_name": "gauge group", "weight": 2.0, "year": 2015}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2015}, {"source": "19", "target": "36", "source_name": "symmetric group", "target_name": "gauge theories", "weight": 2.0, "year": 2015}, {"source": "19", "target": "37", "source_name": "symmetric group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2015}, {"source": "20", "target": "21", "source_name": "gauge group", "target_name": "fixed point", "weight": 3.0, "year": 2015}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 9.0, "year": 2015}, {"source": "20", "target": "28", "source_name": "gauge group", "target_name": "string theory", "weight": 4.0, "year": 2015}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 17.0, "year": 2015}, {"source": "20", "target": "37", "source_name": "gauge group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2015}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 6.0, "year": 2015}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2015}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2015}, {"source": "21", "target": "28", "source_name": "fixed point", "target_name": "string theory", "weight": 2.0, "year": 2015}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2015}, {"source": "21", "target": "33", "source_name": "fixed point", "target_name": "generating function", "weight": 1.0, "year": 2015}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 8.0, "year": 2015}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 4.0, "year": 2015}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 2.0, "year": 2015}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 22.0, "year": 2015}, {"source": "22", "target": "37", "source_name": "gauge theory", "target_name": "riemann surfaces", "weight": 1.0, "year": 2015}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2015}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2015}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2015}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2015}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2015}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2015}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2015}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2015}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 4.0, "year": 2015}, {"source": "27", "target": "30", "source_name": "lie group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2015}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2015}, {"source": "27", "target": "39", "source_name": "lie group", "target_name": "hilbert space", "weight": 3.0, "year": 2015}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 2.0, "year": 2015}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2015}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2015}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2015}, {"source": "30", "target": "37", "source_name": "algebraic geometry", "target_name": "riemann surfaces", "weight": 1.0, "year": 2015}, {"source": "31", "target": "35", "source_name": "flag variety", "target_name": "reductive group", "weight": 1.0, "year": 2015}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2015}, {"source": "36", "target": "37", "source_name": "gauge theories", "target_name": "riemann surfaces", "weight": 2.0, "year": 2015}, {"source": "38", "target": "39", "source_name": "abelian group", "target_name": "hilbert space", "weight": 2.0, "year": 2015}]}, {"2016": [{"source": "0", "target": "1", "source_name": "weyl group", "target_name": "directed graph", "weight": 1.0, "year": 2016}, {"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2016}, {"source": "0", "target": "10", "source_name": "weyl group", "target_name": "euler characteristic", "weight": 1.0, "year": 2016}, {"source": "0", "target": "11", "source_name": "weyl group", "target_name": "lie algebra", "weight": 1.0, "year": 2016}, {"source": "0", "target": "13", "source_name": "weyl group", "target_name": "homogeneous space", "weight": 1.0, "year": 2016}, {"source": "0", "target": "16", "source_name": "weyl group", "target_name": "moduli space", "weight": 1.0, "year": 2016}, {"source": "0", "target": "17", "source_name": "weyl group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2016}, {"source": "0", "target": "21", "source_name": "weyl group", "target_name": "fixed point", "weight": 1.0, "year": 2016}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2016}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 3.0, "year": 2016}, {"source": "0", "target": "33", "source_name": "weyl group", "target_name": "generating function", "weight": 3.0, "year": 2016}, {"source": "0", "target": "35", "source_name": "weyl group", "target_name": "reductive group", "weight": 1.0, "year": 2016}, {"source": "1", "target": "8", "source_name": "directed graph", "target_name": "quantum group", "weight": 1.0, "year": 2016}, {"source": "1", "target": "11", "source_name": "directed graph", "target_name": "lie algebra", "weight": 1.0, "year": 2016}, {"source": "1", "target": "15", "source_name": "directed graph", "target_name": "vector space", "weight": 2.0, "year": 2016}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 3.0, "year": 2016}, {"source": "1", "target": "30", "source_name": "directed graph", "target_name": "algebraic geometry", "weight": 1.0, "year": 2016}, {"source": "1", "target": "34", "source_name": "directed graph", "target_name": "rational function", "weight": 1.0, "year": 2016}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 2.0, "year": 2016}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2016}, {"source": "2", "target": "9", "source_name": "stable representations", "target_name": "euclidean space", "weight": 1.0, "year": 2016}, {"source": "2", "target": "10", "source_name": "stable representations", "target_name": "euler characteristic", "weight": 1.0, "year": 2016}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2016}, {"source": "2", "target": "12", "source_name": "stable representations", "target_name": "direct sum", "weight": 2.0, "year": 2016}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 16.0, "year": 2016}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2016}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2016}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2016}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2016}, {"source": "2", "target": "31", "source_name": "stable representations", "target_name": "flag variety", "weight": 3.0, "year": 2016}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2016}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2016}, {"source": "3", "target": "16", "source_name": "projective variety", "target_name": "moduli space", "weight": 5.0, "year": 2016}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2016}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 4.0, "year": 2016}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2016}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2016}, {"source": "3", "target": "35", "source_name": "projective variety", "target_name": "reductive group", "weight": 2.0, "year": 2016}, {"source": "5", "target": "6", "source_name": "rational numbers", "target_name": "algebraic group", "weight": 4.0, "year": 2016}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2016}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2016}, {"source": "5", "target": "35", "source_name": "rational numbers", "target_name": "reductive group", "weight": 4.0, "year": 2016}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2016}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2016}, {"source": "6", "target": "16", "source_name": "algebraic group", "target_name": "moduli space", "weight": 2.0, "year": 2016}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2016}, {"source": "6", "target": "24", "source_name": "algebraic group", "target_name": "algebraic varieties", "weight": 1.0, "year": 2016}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2016}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2016}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2016}, {"source": "6", "target": "35", "source_name": "algebraic group", "target_name": "reductive group", "weight": 4.0, "year": 2016}, {"source": "7", "target": "10", "source_name": "dimension vectors", "target_name": "euler characteristic", "weight": 3.0, "year": 2016}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2016}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2016}, {"source": "7", "target": "15", "source_name": "dimension vectors", "target_name": "vector space", "weight": 1.0, "year": 2016}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 7.0, "year": 2016}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2016}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2016}, {"source": "7", "target": "30", "source_name": "dimension vectors", "target_name": "algebraic geometry", "weight": 1.0, "year": 2016}, {"source": "7", "target": "31", "source_name": "dimension vectors", "target_name": "flag variety", "weight": 1.0, "year": 2016}, {"source": "7", "target": "35", "source_name": "dimension vectors", "target_name": "reductive group", "weight": 1.0, "year": 2016}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 10.0, "year": 2016}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 3.0, "year": 2016}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2016}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 4.0, "year": 2016}, {"source": "8", "target": "34", "source_name": "quantum group", "target_name": "rational function", "weight": 1.0, "year": 2016}, {"source": "9", "target": "13", "source_name": "euclidean space", "target_name": "homogeneous space", "weight": 1.0, "year": 2016}, {"source": "9", "target": "16", "source_name": "euclidean space", "target_name": "moduli space", "weight": 1.0, "year": 2016}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2016}, {"source": "9", "target": "25", "source_name": "euclidean space", "target_name": "closed form", "weight": 2.0, "year": 2016}, {"source": "9", "target": "36", "source_name": "euclidean space", "target_name": "gauge theories", "weight": 1.0, "year": 2016}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 5.0, "year": 2016}, {"source": "10", "target": "11", "source_name": "euler characteristic", "target_name": "lie algebra", "weight": 1.0, "year": 2016}, {"source": "10", "target": "12", "source_name": "euler characteristic", "target_name": "direct sum", "weight": 1.0, "year": 2016}, {"source": "10", "target": "16", "source_name": "euler characteristic", "target_name": "moduli space", "weight": 7.0, "year": 2016}, {"source": "10", "target": "21", "source_name": "euler characteristic", "target_name": "fixed point", "weight": 1.0, "year": 2016}, {"source": "10", "target": "23", "source_name": "euler characteristic", "target_name": "projective space", "weight": 1.0, "year": 2016}, {"source": "10", "target": "26", "source_name": "euler characteristic", "target_name": "finite field", "weight": 2.0, "year": 2016}, {"source": "10", "target": "30", "source_name": "euler characteristic", "target_name": "algebraic geometry", "weight": 1.0, "year": 2016}, {"source": "10", "target": "33", "source_name": "euler characteristic", "target_name": "generating function", "weight": 4.0, "year": 2016}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2016}, {"source": "11", "target": "15", "source_name": "lie algebra", "target_name": "vector space", "weight": 1.0, "year": 2016}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 2.0, "year": 2016}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2016}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2016}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 4.0, "year": 2016}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 2.0, "year": 2016}, {"source": "11", "target": "33", "source_name": "lie algebra", "target_name": "generating function", "weight": 1.0, "year": 2016}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2016}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2016}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2016}, {"source": "12", "target": "15", "source_name": "direct sum", "target_name": "vector space", "weight": 1.0, "year": 2016}, {"source": "12", "target": "16", "source_name": "direct sum", "target_name": "moduli space", "weight": 1.0, "year": 2016}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 2.0, "year": 2016}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2016}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2016}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2016}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 4.0, "year": 2016}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2016}, {"source": "12", "target": "39", "source_name": "direct sum", "target_name": "hilbert space", "weight": 2.0, "year": 2016}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 2.0, "year": 2016}, {"source": "13", "target": "16", "source_name": "homogeneous space", "target_name": "moduli space", "weight": 1.0, "year": 2016}, {"source": "13", "target": "21", "source_name": "homogeneous space", "target_name": "fixed point", "weight": 1.0, "year": 2016}, {"source": "13", "target": "22", "source_name": "homogeneous space", "target_name": "gauge theory", "weight": 2.0, "year": 2016}, {"source": "13", "target": "23", "source_name": "homogeneous space", "target_name": "projective space", "weight": 1.0, "year": 2016}, {"source": "13", "target": "34", "source_name": "homogeneous space", "target_name": "rational function", "weight": 1.0, "year": 2016}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 4.0, "year": 2016}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 4.0, "year": 2016}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2016}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 2.0, "year": 2016}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2016}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2016}, {"source": "14", "target": "27", "source_name": "cohomology ring", "target_name": "lie group", "weight": 1.0, "year": 2016}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 1.0, "year": 2016}, {"source": "14", "target": "33", "source_name": "cohomology ring", "target_name": "generating function", "weight": 1.0, "year": 2016}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2016}, {"source": "15", "target": "16", "source_name": "vector space", "target_name": "moduli space", "weight": 1.0, "year": 2016}, {"source": "15", "target": "17", "source_name": "vector space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2016}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2016}, {"source": "15", "target": "23", "source_name": "vector space", "target_name": "projective space", "weight": 2.0, "year": 2016}, {"source": "15", "target": "26", "source_name": "vector space", "target_name": "finite field", "weight": 2.0, "year": 2016}, {"source": "15", "target": "27", "source_name": "vector space", "target_name": "lie group", "weight": 1.0, "year": 2016}, {"source": "15", "target": "30", "source_name": "vector space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2016}, {"source": "15", "target": "31", "source_name": "vector space", "target_name": "flag variety", "weight": 2.0, "year": 2016}, {"source": "15", "target": "34", "source_name": "vector space", "target_name": "rational function", "weight": 1.0, "year": 2016}, {"source": "15", "target": "35", "source_name": "vector space", "target_name": "reductive group", "weight": 1.0, "year": 2016}, {"source": "16", "target": "17", "source_name": "moduli space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2016}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2016}, {"source": "16", "target": "20", "source_name": "moduli space", "target_name": "gauge group", "weight": 2.0, "year": 2016}, {"source": "16", "target": "21", "source_name": "moduli space", "target_name": "fixed point", "weight": 3.0, "year": 2016}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 5.0, "year": 2016}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 14.0, "year": 2016}, {"source": "16", "target": "24", "source_name": "moduli space", "target_name": "algebraic varieties", "weight": 2.0, "year": 2016}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2016}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 5.0, "year": 2016}, {"source": "16", "target": "27", "source_name": "moduli space", "target_name": "lie group", "weight": 1.0, "year": 2016}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 1.0, "year": 2016}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 4.0, "year": 2016}, {"source": "16", "target": "31", "source_name": "moduli space", "target_name": "flag variety", "weight": 4.0, "year": 2016}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 5.0, "year": 2016}, {"source": "16", "target": "34", "source_name": "moduli space", "target_name": "rational function", "weight": 1.0, "year": 2016}, {"source": "16", "target": "35", "source_name": "moduli space", "target_name": "reductive group", "weight": 6.0, "year": 2016}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 9.0, "year": 2016}, {"source": "16", "target": "37", "source_name": "moduli space", "target_name": "riemann surfaces", "weight": 1.0, "year": 2016}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2016}, {"source": "17", "target": "20", "source_name": "dynkin diagram", "target_name": "gauge group", "weight": 4.0, "year": 2016}, {"source": "17", "target": "21", "source_name": "dynkin diagram", "target_name": "fixed point", "weight": 2.0, "year": 2016}, {"source": "17", "target": "22", "source_name": "dynkin diagram", "target_name": "gauge theory", "weight": 2.0, "year": 2016}, {"source": "17", "target": "28", "source_name": "dynkin diagram", "target_name": "string theory", "weight": 2.0, "year": 2016}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2016}, {"source": "17", "target": "36", "source_name": "dynkin diagram", "target_name": "gauge theories", "weight": 3.0, "year": 2016}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 2.0, "year": 2016}, {"source": "19", "target": "20", "source_name": "symmetric group", "target_name": "gauge group", "weight": 2.0, "year": 2016}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2016}, {"source": "19", "target": "36", "source_name": "symmetric group", "target_name": "gauge theories", "weight": 2.0, "year": 2016}, {"source": "19", "target": "37", "source_name": "symmetric group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2016}, {"source": "20", "target": "21", "source_name": "gauge group", "target_name": "fixed point", "weight": 3.0, "year": 2016}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 9.0, "year": 2016}, {"source": "20", "target": "28", "source_name": "gauge group", "target_name": "string theory", "weight": 4.0, "year": 2016}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 17.0, "year": 2016}, {"source": "20", "target": "37", "source_name": "gauge group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2016}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 6.0, "year": 2016}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2016}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2016}, {"source": "21", "target": "28", "source_name": "fixed point", "target_name": "string theory", "weight": 2.0, "year": 2016}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2016}, {"source": "21", "target": "33", "source_name": "fixed point", "target_name": "generating function", "weight": 1.0, "year": 2016}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 8.0, "year": 2016}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 4.0, "year": 2016}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 2.0, "year": 2016}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 22.0, "year": 2016}, {"source": "22", "target": "37", "source_name": "gauge theory", "target_name": "riemann surfaces", "weight": 1.0, "year": 2016}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2016}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2016}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2016}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2016}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2016}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2016}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2016}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2016}, {"source": "26", "target": "34", "source_name": "finite field", "target_name": "rational function", "weight": 1.0, "year": 2016}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 4.0, "year": 2016}, {"source": "27", "target": "30", "source_name": "lie group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2016}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2016}, {"source": "27", "target": "39", "source_name": "lie group", "target_name": "hilbert space", "weight": 3.0, "year": 2016}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 2.0, "year": 2016}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2016}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2016}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2016}, {"source": "30", "target": "37", "source_name": "algebraic geometry", "target_name": "riemann surfaces", "weight": 1.0, "year": 2016}, {"source": "31", "target": "35", "source_name": "flag variety", "target_name": "reductive group", "weight": 1.0, "year": 2016}, {"source": "31", "target": "36", "source_name": "flag variety", "target_name": "gauge theories", "weight": 1.0, "year": 2016}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2016}, {"source": "36", "target": "37", "source_name": "gauge theories", "target_name": "riemann surfaces", "weight": 2.0, "year": 2016}, {"source": "38", "target": "39", "source_name": "abelian group", "target_name": "hilbert space", "weight": 2.0, "year": 2016}]}, {"2017": [{"source": "0", "target": "1", "source_name": "weyl group", "target_name": "directed graph", "weight": 1.0, "year": 2017}, {"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2017}, {"source": "0", "target": "7", "source_name": "weyl group", "target_name": "dimension vectors", "weight": 1.0, "year": 2017}, {"source": "0", "target": "10", "source_name": "weyl group", "target_name": "euler characteristic", "weight": 1.0, "year": 2017}, {"source": "0", "target": "11", "source_name": "weyl group", "target_name": "lie algebra", "weight": 1.0, "year": 2017}, {"source": "0", "target": "13", "source_name": "weyl group", "target_name": "homogeneous space", "weight": 1.0, "year": 2017}, {"source": "0", "target": "16", "source_name": "weyl group", "target_name": "moduli space", "weight": 1.0, "year": 2017}, {"source": "0", "target": "17", "source_name": "weyl group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2017}, {"source": "0", "target": "21", "source_name": "weyl group", "target_name": "fixed point", "weight": 1.0, "year": 2017}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2017}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 3.0, "year": 2017}, {"source": "0", "target": "33", "source_name": "weyl group", "target_name": "generating function", "weight": 3.0, "year": 2017}, {"source": "0", "target": "35", "source_name": "weyl group", "target_name": "reductive group", "weight": 1.0, "year": 2017}, {"source": "0", "target": "37", "source_name": "weyl group", "target_name": "riemann surfaces", "weight": 1.0, "year": 2017}, {"source": "1", "target": "8", "source_name": "directed graph", "target_name": "quantum group", "weight": 1.0, "year": 2017}, {"source": "1", "target": "11", "source_name": "directed graph", "target_name": "lie algebra", "weight": 1.0, "year": 2017}, {"source": "1", "target": "15", "source_name": "directed graph", "target_name": "vector space", "weight": 2.0, "year": 2017}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 3.0, "year": 2017}, {"source": "1", "target": "30", "source_name": "directed graph", "target_name": "algebraic geometry", "weight": 1.0, "year": 2017}, {"source": "1", "target": "34", "source_name": "directed graph", "target_name": "rational function", "weight": 1.0, "year": 2017}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 2.0, "year": 2017}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2017}, {"source": "2", "target": "9", "source_name": "stable representations", "target_name": "euclidean space", "weight": 1.0, "year": 2017}, {"source": "2", "target": "10", "source_name": "stable representations", "target_name": "euler characteristic", "weight": 1.0, "year": 2017}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2017}, {"source": "2", "target": "12", "source_name": "stable representations", "target_name": "direct sum", "weight": 2.0, "year": 2017}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 16.0, "year": 2017}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2017}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2017}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2017}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2017}, {"source": "2", "target": "31", "source_name": "stable representations", "target_name": "flag variety", "weight": 3.0, "year": 2017}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2017}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2017}, {"source": "3", "target": "16", "source_name": "projective variety", "target_name": "moduli space", "weight": 5.0, "year": 2017}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2017}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 4.0, "year": 2017}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2017}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2017}, {"source": "3", "target": "35", "source_name": "projective variety", "target_name": "reductive group", "weight": 2.0, "year": 2017}, {"source": "5", "target": "6", "source_name": "rational numbers", "target_name": "algebraic group", "weight": 4.0, "year": 2017}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2017}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2017}, {"source": "5", "target": "35", "source_name": "rational numbers", "target_name": "reductive group", "weight": 4.0, "year": 2017}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2017}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2017}, {"source": "6", "target": "16", "source_name": "algebraic group", "target_name": "moduli space", "weight": 2.0, "year": 2017}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2017}, {"source": "6", "target": "24", "source_name": "algebraic group", "target_name": "algebraic varieties", "weight": 1.0, "year": 2017}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2017}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2017}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2017}, {"source": "6", "target": "35", "source_name": "algebraic group", "target_name": "reductive group", "weight": 4.0, "year": 2017}, {"source": "7", "target": "10", "source_name": "dimension vectors", "target_name": "euler characteristic", "weight": 3.0, "year": 2017}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2017}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2017}, {"source": "7", "target": "15", "source_name": "dimension vectors", "target_name": "vector space", "weight": 1.0, "year": 2017}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 8.0, "year": 2017}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2017}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2017}, {"source": "7", "target": "30", "source_name": "dimension vectors", "target_name": "algebraic geometry", "weight": 1.0, "year": 2017}, {"source": "7", "target": "31", "source_name": "dimension vectors", "target_name": "flag variety", "weight": 1.0, "year": 2017}, {"source": "7", "target": "35", "source_name": "dimension vectors", "target_name": "reductive group", "weight": 1.0, "year": 2017}, {"source": "7", "target": "37", "source_name": "dimension vectors", "target_name": "riemann surfaces", "weight": 1.0, "year": 2017}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 10.0, "year": 2017}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 3.0, "year": 2017}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2017}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 4.0, "year": 2017}, {"source": "8", "target": "34", "source_name": "quantum group", "target_name": "rational function", "weight": 1.0, "year": 2017}, {"source": "9", "target": "13", "source_name": "euclidean space", "target_name": "homogeneous space", "weight": 1.0, "year": 2017}, {"source": "9", "target": "16", "source_name": "euclidean space", "target_name": "moduli space", "weight": 1.0, "year": 2017}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2017}, {"source": "9", "target": "25", "source_name": "euclidean space", "target_name": "closed form", "weight": 2.0, "year": 2017}, {"source": "9", "target": "36", "source_name": "euclidean space", "target_name": "gauge theories", "weight": 1.0, "year": 2017}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 5.0, "year": 2017}, {"source": "10", "target": "11", "source_name": "euler characteristic", "target_name": "lie algebra", "weight": 1.0, "year": 2017}, {"source": "10", "target": "12", "source_name": "euler characteristic", "target_name": "direct sum", "weight": 1.0, "year": 2017}, {"source": "10", "target": "16", "source_name": "euler characteristic", "target_name": "moduli space", "weight": 7.0, "year": 2017}, {"source": "10", "target": "21", "source_name": "euler characteristic", "target_name": "fixed point", "weight": 1.0, "year": 2017}, {"source": "10", "target": "23", "source_name": "euler characteristic", "target_name": "projective space", "weight": 1.0, "year": 2017}, {"source": "10", "target": "26", "source_name": "euler characteristic", "target_name": "finite field", "weight": 2.0, "year": 2017}, {"source": "10", "target": "30", "source_name": "euler characteristic", "target_name": "algebraic geometry", "weight": 1.0, "year": 2017}, {"source": "10", "target": "33", "source_name": "euler characteristic", "target_name": "generating function", "weight": 4.0, "year": 2017}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2017}, {"source": "11", "target": "15", "source_name": "lie algebra", "target_name": "vector space", "weight": 1.0, "year": 2017}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 2.0, "year": 2017}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2017}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 1.0, "year": 2017}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 4.0, "year": 2017}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 2.0, "year": 2017}, {"source": "11", "target": "33", "source_name": "lie algebra", "target_name": "generating function", "weight": 1.0, "year": 2017}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2017}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2017}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2017}, {"source": "12", "target": "15", "source_name": "direct sum", "target_name": "vector space", "weight": 1.0, "year": 2017}, {"source": "12", "target": "16", "source_name": "direct sum", "target_name": "moduli space", "weight": 2.0, "year": 2017}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 2.0, "year": 2017}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2017}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2017}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2017}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 4.0, "year": 2017}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2017}, {"source": "12", "target": "39", "source_name": "direct sum", "target_name": "hilbert space", "weight": 2.0, "year": 2017}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 2.0, "year": 2017}, {"source": "13", "target": "16", "source_name": "homogeneous space", "target_name": "moduli space", "weight": 1.0, "year": 2017}, {"source": "13", "target": "21", "source_name": "homogeneous space", "target_name": "fixed point", "weight": 1.0, "year": 2017}, {"source": "13", "target": "22", "source_name": "homogeneous space", "target_name": "gauge theory", "weight": 2.0, "year": 2017}, {"source": "13", "target": "23", "source_name": "homogeneous space", "target_name": "projective space", "weight": 1.0, "year": 2017}, {"source": "13", "target": "27", "source_name": "homogeneous space", "target_name": "lie group", "weight": 1.0, "year": 2017}, {"source": "13", "target": "34", "source_name": "homogeneous space", "target_name": "rational function", "weight": 1.0, "year": 2017}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 4.0, "year": 2017}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 6.0, "year": 2017}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2017}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 2.0, "year": 2017}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2017}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2017}, {"source": "14", "target": "27", "source_name": "cohomology ring", "target_name": "lie group", "weight": 1.0, "year": 2017}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 1.0, "year": 2017}, {"source": "14", "target": "33", "source_name": "cohomology ring", "target_name": "generating function", "weight": 1.0, "year": 2017}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2017}, {"source": "15", "target": "16", "source_name": "vector space", "target_name": "moduli space", "weight": 1.0, "year": 2017}, {"source": "15", "target": "17", "source_name": "vector space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2017}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2017}, {"source": "15", "target": "23", "source_name": "vector space", "target_name": "projective space", "weight": 2.0, "year": 2017}, {"source": "15", "target": "26", "source_name": "vector space", "target_name": "finite field", "weight": 2.0, "year": 2017}, {"source": "15", "target": "27", "source_name": "vector space", "target_name": "lie group", "weight": 1.0, "year": 2017}, {"source": "15", "target": "30", "source_name": "vector space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2017}, {"source": "15", "target": "31", "source_name": "vector space", "target_name": "flag variety", "weight": 2.0, "year": 2017}, {"source": "15", "target": "34", "source_name": "vector space", "target_name": "rational function", "weight": 1.0, "year": 2017}, {"source": "15", "target": "35", "source_name": "vector space", "target_name": "reductive group", "weight": 1.0, "year": 2017}, {"source": "16", "target": "17", "source_name": "moduli space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2017}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2017}, {"source": "16", "target": "20", "source_name": "moduli space", "target_name": "gauge group", "weight": 2.0, "year": 2017}, {"source": "16", "target": "21", "source_name": "moduli space", "target_name": "fixed point", "weight": 3.0, "year": 2017}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 5.0, "year": 2017}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 14.0, "year": 2017}, {"source": "16", "target": "24", "source_name": "moduli space", "target_name": "algebraic varieties", "weight": 2.0, "year": 2017}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2017}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 5.0, "year": 2017}, {"source": "16", "target": "27", "source_name": "moduli space", "target_name": "lie group", "weight": 1.0, "year": 2017}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 2.0, "year": 2017}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 4.0, "year": 2017}, {"source": "16", "target": "31", "source_name": "moduli space", "target_name": "flag variety", "weight": 4.0, "year": 2017}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 5.0, "year": 2017}, {"source": "16", "target": "34", "source_name": "moduli space", "target_name": "rational function", "weight": 1.0, "year": 2017}, {"source": "16", "target": "35", "source_name": "moduli space", "target_name": "reductive group", "weight": 7.0, "year": 2017}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 9.0, "year": 2017}, {"source": "16", "target": "37", "source_name": "moduli space", "target_name": "riemann surfaces", "weight": 1.0, "year": 2017}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2017}, {"source": "17", "target": "20", "source_name": "dynkin diagram", "target_name": "gauge group", "weight": 4.0, "year": 2017}, {"source": "17", "target": "21", "source_name": "dynkin diagram", "target_name": "fixed point", "weight": 2.0, "year": 2017}, {"source": "17", "target": "22", "source_name": "dynkin diagram", "target_name": "gauge theory", "weight": 2.0, "year": 2017}, {"source": "17", "target": "28", "source_name": "dynkin diagram", "target_name": "string theory", "weight": 2.0, "year": 2017}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2017}, {"source": "17", "target": "36", "source_name": "dynkin diagram", "target_name": "gauge theories", "weight": 3.0, "year": 2017}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 2.0, "year": 2017}, {"source": "19", "target": "20", "source_name": "symmetric group", "target_name": "gauge group", "weight": 2.0, "year": 2017}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2017}, {"source": "19", "target": "36", "source_name": "symmetric group", "target_name": "gauge theories", "weight": 2.0, "year": 2017}, {"source": "19", "target": "37", "source_name": "symmetric group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2017}, {"source": "20", "target": "21", "source_name": "gauge group", "target_name": "fixed point", "weight": 3.0, "year": 2017}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 9.0, "year": 2017}, {"source": "20", "target": "28", "source_name": "gauge group", "target_name": "string theory", "weight": 4.0, "year": 2017}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 17.0, "year": 2017}, {"source": "20", "target": "37", "source_name": "gauge group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2017}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 6.0, "year": 2017}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2017}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2017}, {"source": "21", "target": "28", "source_name": "fixed point", "target_name": "string theory", "weight": 2.0, "year": 2017}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2017}, {"source": "21", "target": "33", "source_name": "fixed point", "target_name": "generating function", "weight": 1.0, "year": 2017}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 8.0, "year": 2017}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 4.0, "year": 2017}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 2.0, "year": 2017}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 22.0, "year": 2017}, {"source": "22", "target": "37", "source_name": "gauge theory", "target_name": "riemann surfaces", "weight": 1.0, "year": 2017}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2017}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2017}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2017}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2017}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2017}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2017}, {"source": "25", "target": "26", "source_name": "closed form", "target_name": "finite field", "weight": 1.0, "year": 2017}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2017}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2017}, {"source": "26", "target": "34", "source_name": "finite field", "target_name": "rational function", "weight": 1.0, "year": 2017}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 4.0, "year": 2017}, {"source": "27", "target": "30", "source_name": "lie group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2017}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2017}, {"source": "27", "target": "39", "source_name": "lie group", "target_name": "hilbert space", "weight": 3.0, "year": 2017}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 2.0, "year": 2017}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2017}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2017}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2017}, {"source": "30", "target": "37", "source_name": "algebraic geometry", "target_name": "riemann surfaces", "weight": 1.0, "year": 2017}, {"source": "31", "target": "35", "source_name": "flag variety", "target_name": "reductive group", "weight": 1.0, "year": 2017}, {"source": "31", "target": "36", "source_name": "flag variety", "target_name": "gauge theories", "weight": 1.0, "year": 2017}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2017}, {"source": "33", "target": "34", "source_name": "generating function", "target_name": "rational function", "weight": 1.0, "year": 2017}, {"source": "33", "target": "36", "source_name": "generating function", "target_name": "gauge theories", "weight": 1.0, "year": 2017}, {"source": "34", "target": "36", "source_name": "rational function", "target_name": "gauge theories", "weight": 1.0, "year": 2017}, {"source": "36", "target": "37", "source_name": "gauge theories", "target_name": "riemann surfaces", "weight": 2.0, "year": 2017}, {"source": "38", "target": "39", "source_name": "abelian group", "target_name": "hilbert space", "weight": 2.0, "year": 2017}]}, {"2018": [{"source": "0", "target": "1", "source_name": "weyl group", "target_name": "directed graph", "weight": 1.0, "year": 2018}, {"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2018}, {"source": "0", "target": "7", "source_name": "weyl group", "target_name": "dimension vectors", "weight": 1.0, "year": 2018}, {"source": "0", "target": "10", "source_name": "weyl group", "target_name": "euler characteristic", "weight": 1.0, "year": 2018}, {"source": "0", "target": "11", "source_name": "weyl group", "target_name": "lie algebra", "weight": 1.0, "year": 2018}, {"source": "0", "target": "13", "source_name": "weyl group", "target_name": "homogeneous space", "weight": 1.0, "year": 2018}, {"source": "0", "target": "16", "source_name": "weyl group", "target_name": "moduli space", "weight": 2.0, "year": 2018}, {"source": "0", "target": "17", "source_name": "weyl group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2018}, {"source": "0", "target": "21", "source_name": "weyl group", "target_name": "fixed point", "weight": 1.0, "year": 2018}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2018}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 3.0, "year": 2018}, {"source": "0", "target": "33", "source_name": "weyl group", "target_name": "generating function", "weight": 3.0, "year": 2018}, {"source": "0", "target": "35", "source_name": "weyl group", "target_name": "reductive group", "weight": 2.0, "year": 2018}, {"source": "0", "target": "37", "source_name": "weyl group", "target_name": "riemann surfaces", "weight": 1.0, "year": 2018}, {"source": "1", "target": "8", "source_name": "directed graph", "target_name": "quantum group", "weight": 1.0, "year": 2018}, {"source": "1", "target": "11", "source_name": "directed graph", "target_name": "lie algebra", "weight": 1.0, "year": 2018}, {"source": "1", "target": "15", "source_name": "directed graph", "target_name": "vector space", "weight": 2.0, "year": 2018}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 3.0, "year": 2018}, {"source": "1", "target": "30", "source_name": "directed graph", "target_name": "algebraic geometry", "weight": 1.0, "year": 2018}, {"source": "1", "target": "34", "source_name": "directed graph", "target_name": "rational function", "weight": 3.0, "year": 2018}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 2.0, "year": 2018}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2018}, {"source": "2", "target": "9", "source_name": "stable representations", "target_name": "euclidean space", "weight": 1.0, "year": 2018}, {"source": "2", "target": "10", "source_name": "stable representations", "target_name": "euler characteristic", "weight": 1.0, "year": 2018}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2018}, {"source": "2", "target": "12", "source_name": "stable representations", "target_name": "direct sum", "weight": 2.0, "year": 2018}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 16.0, "year": 2018}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2018}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2018}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2018}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2018}, {"source": "2", "target": "31", "source_name": "stable representations", "target_name": "flag variety", "weight": 3.0, "year": 2018}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2018}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2018}, {"source": "3", "target": "16", "source_name": "projective variety", "target_name": "moduli space", "weight": 5.0, "year": 2018}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2018}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 4.0, "year": 2018}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2018}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2018}, {"source": "3", "target": "35", "source_name": "projective variety", "target_name": "reductive group", "weight": 2.0, "year": 2018}, {"source": "5", "target": "6", "source_name": "rational numbers", "target_name": "algebraic group", "weight": 4.0, "year": 2018}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2018}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2018}, {"source": "5", "target": "34", "source_name": "rational numbers", "target_name": "rational function", "weight": 1.0, "year": 2018}, {"source": "5", "target": "35", "source_name": "rational numbers", "target_name": "reductive group", "weight": 4.0, "year": 2018}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2018}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2018}, {"source": "6", "target": "11", "source_name": "algebraic group", "target_name": "lie algebra", "weight": 1.0, "year": 2018}, {"source": "6", "target": "13", "source_name": "algebraic group", "target_name": "homogeneous space", "weight": 1.0, "year": 2018}, {"source": "6", "target": "16", "source_name": "algebraic group", "target_name": "moduli space", "weight": 2.0, "year": 2018}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2018}, {"source": "6", "target": "22", "source_name": "algebraic group", "target_name": "gauge theory", "weight": 1.0, "year": 2018}, {"source": "6", "target": "24", "source_name": "algebraic group", "target_name": "algebraic varieties", "weight": 1.0, "year": 2018}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2018}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2018}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2018}, {"source": "6", "target": "35", "source_name": "algebraic group", "target_name": "reductive group", "weight": 4.0, "year": 2018}, {"source": "7", "target": "10", "source_name": "dimension vectors", "target_name": "euler characteristic", "weight": 3.0, "year": 2018}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2018}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2018}, {"source": "7", "target": "15", "source_name": "dimension vectors", "target_name": "vector space", "weight": 1.0, "year": 2018}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 8.0, "year": 2018}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2018}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2018}, {"source": "7", "target": "30", "source_name": "dimension vectors", "target_name": "algebraic geometry", "weight": 1.0, "year": 2018}, {"source": "7", "target": "31", "source_name": "dimension vectors", "target_name": "flag variety", "weight": 1.0, "year": 2018}, {"source": "7", "target": "35", "source_name": "dimension vectors", "target_name": "reductive group", "weight": 1.0, "year": 2018}, {"source": "7", "target": "37", "source_name": "dimension vectors", "target_name": "riemann surfaces", "weight": 1.0, "year": 2018}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 10.0, "year": 2018}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 3.0, "year": 2018}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2018}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 5.0, "year": 2018}, {"source": "8", "target": "34", "source_name": "quantum group", "target_name": "rational function", "weight": 1.0, "year": 2018}, {"source": "9", "target": "13", "source_name": "euclidean space", "target_name": "homogeneous space", "weight": 2.0, "year": 2018}, {"source": "9", "target": "16", "source_name": "euclidean space", "target_name": "moduli space", "weight": 1.0, "year": 2018}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2018}, {"source": "9", "target": "25", "source_name": "euclidean space", "target_name": "closed form", "weight": 2.0, "year": 2018}, {"source": "9", "target": "36", "source_name": "euclidean space", "target_name": "gauge theories", "weight": 1.0, "year": 2018}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 5.0, "year": 2018}, {"source": "10", "target": "11", "source_name": "euler characteristic", "target_name": "lie algebra", "weight": 1.0, "year": 2018}, {"source": "10", "target": "12", "source_name": "euler characteristic", "target_name": "direct sum", "weight": 1.0, "year": 2018}, {"source": "10", "target": "16", "source_name": "euler characteristic", "target_name": "moduli space", "weight": 7.0, "year": 2018}, {"source": "10", "target": "21", "source_name": "euler characteristic", "target_name": "fixed point", "weight": 1.0, "year": 2018}, {"source": "10", "target": "23", "source_name": "euler characteristic", "target_name": "projective space", "weight": 1.0, "year": 2018}, {"source": "10", "target": "26", "source_name": "euler characteristic", "target_name": "finite field", "weight": 2.0, "year": 2018}, {"source": "10", "target": "30", "source_name": "euler characteristic", "target_name": "algebraic geometry", "weight": 1.0, "year": 2018}, {"source": "10", "target": "33", "source_name": "euler characteristic", "target_name": "generating function", "weight": 4.0, "year": 2018}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2018}, {"source": "11", "target": "14", "source_name": "lie algebra", "target_name": "cohomology ring", "weight": 1.0, "year": 2018}, {"source": "11", "target": "15", "source_name": "lie algebra", "target_name": "vector space", "weight": 1.0, "year": 2018}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 4.0, "year": 2018}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2018}, {"source": "11", "target": "21", "source_name": "lie algebra", "target_name": "fixed point", "weight": 1.0, "year": 2018}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 2.0, "year": 2018}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 4.0, "year": 2018}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 2.0, "year": 2018}, {"source": "11", "target": "33", "source_name": "lie algebra", "target_name": "generating function", "weight": 1.0, "year": 2018}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2018}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2018}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2018}, {"source": "12", "target": "15", "source_name": "direct sum", "target_name": "vector space", "weight": 1.0, "year": 2018}, {"source": "12", "target": "16", "source_name": "direct sum", "target_name": "moduli space", "weight": 2.0, "year": 2018}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 2.0, "year": 2018}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2018}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2018}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2018}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 4.0, "year": 2018}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2018}, {"source": "12", "target": "39", "source_name": "direct sum", "target_name": "hilbert space", "weight": 2.0, "year": 2018}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 2.0, "year": 2018}, {"source": "13", "target": "16", "source_name": "homogeneous space", "target_name": "moduli space", "weight": 1.0, "year": 2018}, {"source": "13", "target": "21", "source_name": "homogeneous space", "target_name": "fixed point", "weight": 1.0, "year": 2018}, {"source": "13", "target": "22", "source_name": "homogeneous space", "target_name": "gauge theory", "weight": 2.0, "year": 2018}, {"source": "13", "target": "23", "source_name": "homogeneous space", "target_name": "projective space", "weight": 1.0, "year": 2018}, {"source": "13", "target": "27", "source_name": "homogeneous space", "target_name": "lie group", "weight": 2.0, "year": 2018}, {"source": "13", "target": "34", "source_name": "homogeneous space", "target_name": "rational function", "weight": 1.0, "year": 2018}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 4.0, "year": 2018}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 6.0, "year": 2018}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2018}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 3.0, "year": 2018}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2018}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2018}, {"source": "14", "target": "27", "source_name": "cohomology ring", "target_name": "lie group", "weight": 1.0, "year": 2018}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 1.0, "year": 2018}, {"source": "14", "target": "33", "source_name": "cohomology ring", "target_name": "generating function", "weight": 1.0, "year": 2018}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2018}, {"source": "15", "target": "16", "source_name": "vector space", "target_name": "moduli space", "weight": 1.0, "year": 2018}, {"source": "15", "target": "17", "source_name": "vector space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2018}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2018}, {"source": "15", "target": "23", "source_name": "vector space", "target_name": "projective space", "weight": 2.0, "year": 2018}, {"source": "15", "target": "26", "source_name": "vector space", "target_name": "finite field", "weight": 2.0, "year": 2018}, {"source": "15", "target": "27", "source_name": "vector space", "target_name": "lie group", "weight": 1.0, "year": 2018}, {"source": "15", "target": "30", "source_name": "vector space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2018}, {"source": "15", "target": "31", "source_name": "vector space", "target_name": "flag variety", "weight": 2.0, "year": 2018}, {"source": "15", "target": "34", "source_name": "vector space", "target_name": "rational function", "weight": 1.0, "year": 2018}, {"source": "15", "target": "35", "source_name": "vector space", "target_name": "reductive group", "weight": 1.0, "year": 2018}, {"source": "16", "target": "17", "source_name": "moduli space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2018}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2018}, {"source": "16", "target": "20", "source_name": "moduli space", "target_name": "gauge group", "weight": 2.0, "year": 2018}, {"source": "16", "target": "21", "source_name": "moduli space", "target_name": "fixed point", "weight": 3.0, "year": 2018}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 5.0, "year": 2018}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 14.0, "year": 2018}, {"source": "16", "target": "24", "source_name": "moduli space", "target_name": "algebraic varieties", "weight": 2.0, "year": 2018}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2018}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 5.0, "year": 2018}, {"source": "16", "target": "27", "source_name": "moduli space", "target_name": "lie group", "weight": 1.0, "year": 2018}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 2.0, "year": 2018}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 4.0, "year": 2018}, {"source": "16", "target": "31", "source_name": "moduli space", "target_name": "flag variety", "weight": 4.0, "year": 2018}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 5.0, "year": 2018}, {"source": "16", "target": "34", "source_name": "moduli space", "target_name": "rational function", "weight": 1.0, "year": 2018}, {"source": "16", "target": "35", "source_name": "moduli space", "target_name": "reductive group", "weight": 9.0, "year": 2018}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 9.0, "year": 2018}, {"source": "16", "target": "37", "source_name": "moduli space", "target_name": "riemann surfaces", "weight": 2.0, "year": 2018}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2018}, {"source": "17", "target": "20", "source_name": "dynkin diagram", "target_name": "gauge group", "weight": 4.0, "year": 2018}, {"source": "17", "target": "21", "source_name": "dynkin diagram", "target_name": "fixed point", "weight": 2.0, "year": 2018}, {"source": "17", "target": "22", "source_name": "dynkin diagram", "target_name": "gauge theory", "weight": 2.0, "year": 2018}, {"source": "17", "target": "28", "source_name": "dynkin diagram", "target_name": "string theory", "weight": 2.0, "year": 2018}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2018}, {"source": "17", "target": "36", "source_name": "dynkin diagram", "target_name": "gauge theories", "weight": 3.0, "year": 2018}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 2.0, "year": 2018}, {"source": "19", "target": "20", "source_name": "symmetric group", "target_name": "gauge group", "weight": 2.0, "year": 2018}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2018}, {"source": "19", "target": "36", "source_name": "symmetric group", "target_name": "gauge theories", "weight": 2.0, "year": 2018}, {"source": "19", "target": "37", "source_name": "symmetric group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2018}, {"source": "20", "target": "21", "source_name": "gauge group", "target_name": "fixed point", "weight": 3.0, "year": 2018}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 9.0, "year": 2018}, {"source": "20", "target": "28", "source_name": "gauge group", "target_name": "string theory", "weight": 4.0, "year": 2018}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 17.0, "year": 2018}, {"source": "20", "target": "37", "source_name": "gauge group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2018}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 6.0, "year": 2018}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2018}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2018}, {"source": "21", "target": "28", "source_name": "fixed point", "target_name": "string theory", "weight": 2.0, "year": 2018}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2018}, {"source": "21", "target": "33", "source_name": "fixed point", "target_name": "generating function", "weight": 1.0, "year": 2018}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 8.0, "year": 2018}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 4.0, "year": 2018}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 2.0, "year": 2018}, {"source": "22", "target": "35", "source_name": "gauge theory", "target_name": "reductive group", "weight": 1.0, "year": 2018}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 22.0, "year": 2018}, {"source": "22", "target": "37", "source_name": "gauge theory", "target_name": "riemann surfaces", "weight": 1.0, "year": 2018}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2018}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2018}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2018}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2018}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2018}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2018}, {"source": "25", "target": "26", "source_name": "closed form", "target_name": "finite field", "weight": 1.0, "year": 2018}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2018}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2018}, {"source": "26", "target": "34", "source_name": "finite field", "target_name": "rational function", "weight": 3.0, "year": 2018}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 4.0, "year": 2018}, {"source": "27", "target": "30", "source_name": "lie group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2018}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2018}, {"source": "27", "target": "39", "source_name": "lie group", "target_name": "hilbert space", "weight": 3.0, "year": 2018}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 3.0, "year": 2018}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2018}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2018}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2018}, {"source": "30", "target": "37", "source_name": "algebraic geometry", "target_name": "riemann surfaces", "weight": 1.0, "year": 2018}, {"source": "31", "target": "35", "source_name": "flag variety", "target_name": "reductive group", "weight": 1.0, "year": 2018}, {"source": "31", "target": "36", "source_name": "flag variety", "target_name": "gauge theories", "weight": 1.0, "year": 2018}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2018}, {"source": "33", "target": "34", "source_name": "generating function", "target_name": "rational function", "weight": 1.0, "year": 2018}, {"source": "33", "target": "36", "source_name": "generating function", "target_name": "gauge theories", "weight": 3.0, "year": 2018}, {"source": "34", "target": "36", "source_name": "rational function", "target_name": "gauge theories", "weight": 1.0, "year": 2018}, {"source": "36", "target": "37", "source_name": "gauge theories", "target_name": "riemann surfaces", "weight": 2.0, "year": 2018}, {"source": "38", "target": "39", "source_name": "abelian group", "target_name": "hilbert space", "weight": 2.0, "year": 2018}]}, {"2019": [{"source": "0", "target": "1", "source_name": "weyl group", "target_name": "directed graph", "weight": 1.0, "year": 2019}, {"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2019}, {"source": "0", "target": "7", "source_name": "weyl group", "target_name": "dimension vectors", "weight": 1.0, "year": 2019}, {"source": "0", "target": "10", "source_name": "weyl group", "target_name": "euler characteristic", "weight": 1.0, "year": 2019}, {"source": "0", "target": "11", "source_name": "weyl group", "target_name": "lie algebra", "weight": 1.0, "year": 2019}, {"source": "0", "target": "13", "source_name": "weyl group", "target_name": "homogeneous space", "weight": 1.0, "year": 2019}, {"source": "0", "target": "16", "source_name": "weyl group", "target_name": "moduli space", "weight": 2.0, "year": 2019}, {"source": "0", "target": "17", "source_name": "weyl group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2019}, {"source": "0", "target": "21", "source_name": "weyl group", "target_name": "fixed point", "weight": 1.0, "year": 2019}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2019}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 3.0, "year": 2019}, {"source": "0", "target": "33", "source_name": "weyl group", "target_name": "generating function", "weight": 3.0, "year": 2019}, {"source": "0", "target": "35", "source_name": "weyl group", "target_name": "reductive group", "weight": 2.0, "year": 2019}, {"source": "0", "target": "37", "source_name": "weyl group", "target_name": "riemann surfaces", "weight": 1.0, "year": 2019}, {"source": "1", "target": "8", "source_name": "directed graph", "target_name": "quantum group", "weight": 1.0, "year": 2019}, {"source": "1", "target": "11", "source_name": "directed graph", "target_name": "lie algebra", "weight": 1.0, "year": 2019}, {"source": "1", "target": "15", "source_name": "directed graph", "target_name": "vector space", "weight": 2.0, "year": 2019}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 3.0, "year": 2019}, {"source": "1", "target": "30", "source_name": "directed graph", "target_name": "algebraic geometry", "weight": 1.0, "year": 2019}, {"source": "1", "target": "34", "source_name": "directed graph", "target_name": "rational function", "weight": 3.0, "year": 2019}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 2.0, "year": 2019}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2019}, {"source": "2", "target": "9", "source_name": "stable representations", "target_name": "euclidean space", "weight": 1.0, "year": 2019}, {"source": "2", "target": "10", "source_name": "stable representations", "target_name": "euler characteristic", "weight": 1.0, "year": 2019}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2019}, {"source": "2", "target": "12", "source_name": "stable representations", "target_name": "direct sum", "weight": 2.0, "year": 2019}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 16.0, "year": 2019}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2019}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2019}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2019}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2019}, {"source": "2", "target": "31", "source_name": "stable representations", "target_name": "flag variety", "weight": 3.0, "year": 2019}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2019}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2019}, {"source": "3", "target": "16", "source_name": "projective variety", "target_name": "moduli space", "weight": 5.0, "year": 2019}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2019}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 4.0, "year": 2019}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2019}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2019}, {"source": "3", "target": "35", "source_name": "projective variety", "target_name": "reductive group", "weight": 2.0, "year": 2019}, {"source": "5", "target": "6", "source_name": "rational numbers", "target_name": "algebraic group", "weight": 4.0, "year": 2019}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2019}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2019}, {"source": "5", "target": "34", "source_name": "rational numbers", "target_name": "rational function", "weight": 1.0, "year": 2019}, {"source": "5", "target": "35", "source_name": "rational numbers", "target_name": "reductive group", "weight": 4.0, "year": 2019}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2019}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2019}, {"source": "6", "target": "11", "source_name": "algebraic group", "target_name": "lie algebra", "weight": 1.0, "year": 2019}, {"source": "6", "target": "13", "source_name": "algebraic group", "target_name": "homogeneous space", "weight": 1.0, "year": 2019}, {"source": "6", "target": "16", "source_name": "algebraic group", "target_name": "moduli space", "weight": 2.0, "year": 2019}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2019}, {"source": "6", "target": "22", "source_name": "algebraic group", "target_name": "gauge theory", "weight": 1.0, "year": 2019}, {"source": "6", "target": "24", "source_name": "algebraic group", "target_name": "algebraic varieties", "weight": 1.0, "year": 2019}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2019}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2019}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2019}, {"source": "6", "target": "35", "source_name": "algebraic group", "target_name": "reductive group", "weight": 4.0, "year": 2019}, {"source": "7", "target": "10", "source_name": "dimension vectors", "target_name": "euler characteristic", "weight": 3.0, "year": 2019}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 2.0, "year": 2019}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2019}, {"source": "7", "target": "15", "source_name": "dimension vectors", "target_name": "vector space", "weight": 1.0, "year": 2019}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 8.0, "year": 2019}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2019}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2019}, {"source": "7", "target": "30", "source_name": "dimension vectors", "target_name": "algebraic geometry", "weight": 1.0, "year": 2019}, {"source": "7", "target": "31", "source_name": "dimension vectors", "target_name": "flag variety", "weight": 1.0, "year": 2019}, {"source": "7", "target": "35", "source_name": "dimension vectors", "target_name": "reductive group", "weight": 1.0, "year": 2019}, {"source": "7", "target": "37", "source_name": "dimension vectors", "target_name": "riemann surfaces", "weight": 1.0, "year": 2019}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 11.0, "year": 2019}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 3.0, "year": 2019}, {"source": "8", "target": "16", "source_name": "quantum group", "target_name": "moduli space", "weight": 1.0, "year": 2019}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2019}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 5.0, "year": 2019}, {"source": "8", "target": "34", "source_name": "quantum group", "target_name": "rational function", "weight": 1.0, "year": 2019}, {"source": "9", "target": "13", "source_name": "euclidean space", "target_name": "homogeneous space", "weight": 2.0, "year": 2019}, {"source": "9", "target": "16", "source_name": "euclidean space", "target_name": "moduli space", "weight": 1.0, "year": 2019}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2019}, {"source": "9", "target": "25", "source_name": "euclidean space", "target_name": "closed form", "weight": 2.0, "year": 2019}, {"source": "9", "target": "36", "source_name": "euclidean space", "target_name": "gauge theories", "weight": 1.0, "year": 2019}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 5.0, "year": 2019}, {"source": "10", "target": "11", "source_name": "euler characteristic", "target_name": "lie algebra", "weight": 1.0, "year": 2019}, {"source": "10", "target": "12", "source_name": "euler characteristic", "target_name": "direct sum", "weight": 1.0, "year": 2019}, {"source": "10", "target": "16", "source_name": "euler characteristic", "target_name": "moduli space", "weight": 7.0, "year": 2019}, {"source": "10", "target": "21", "source_name": "euler characteristic", "target_name": "fixed point", "weight": 1.0, "year": 2019}, {"source": "10", "target": "23", "source_name": "euler characteristic", "target_name": "projective space", "weight": 1.0, "year": 2019}, {"source": "10", "target": "26", "source_name": "euler characteristic", "target_name": "finite field", "weight": 2.0, "year": 2019}, {"source": "10", "target": "30", "source_name": "euler characteristic", "target_name": "algebraic geometry", "weight": 1.0, "year": 2019}, {"source": "10", "target": "33", "source_name": "euler characteristic", "target_name": "generating function", "weight": 4.0, "year": 2019}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2019}, {"source": "11", "target": "14", "source_name": "lie algebra", "target_name": "cohomology ring", "weight": 1.0, "year": 2019}, {"source": "11", "target": "15", "source_name": "lie algebra", "target_name": "vector space", "weight": 1.0, "year": 2019}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 5.0, "year": 2019}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2019}, {"source": "11", "target": "21", "source_name": "lie algebra", "target_name": "fixed point", "weight": 2.0, "year": 2019}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 2.0, "year": 2019}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 4.0, "year": 2019}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 2.0, "year": 2019}, {"source": "11", "target": "33", "source_name": "lie algebra", "target_name": "generating function", "weight": 1.0, "year": 2019}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2019}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2019}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2019}, {"source": "12", "target": "15", "source_name": "direct sum", "target_name": "vector space", "weight": 1.0, "year": 2019}, {"source": "12", "target": "16", "source_name": "direct sum", "target_name": "moduli space", "weight": 2.0, "year": 2019}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 2.0, "year": 2019}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2019}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2019}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2019}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 4.0, "year": 2019}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2019}, {"source": "12", "target": "39", "source_name": "direct sum", "target_name": "hilbert space", "weight": 2.0, "year": 2019}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 2.0, "year": 2019}, {"source": "13", "target": "16", "source_name": "homogeneous space", "target_name": "moduli space", "weight": 1.0, "year": 2019}, {"source": "13", "target": "21", "source_name": "homogeneous space", "target_name": "fixed point", "weight": 1.0, "year": 2019}, {"source": "13", "target": "22", "source_name": "homogeneous space", "target_name": "gauge theory", "weight": 2.0, "year": 2019}, {"source": "13", "target": "23", "source_name": "homogeneous space", "target_name": "projective space", "weight": 1.0, "year": 2019}, {"source": "13", "target": "27", "source_name": "homogeneous space", "target_name": "lie group", "weight": 2.0, "year": 2019}, {"source": "13", "target": "34", "source_name": "homogeneous space", "target_name": "rational function", "weight": 1.0, "year": 2019}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 4.0, "year": 2019}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 6.0, "year": 2019}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2019}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 3.0, "year": 2019}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2019}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2019}, {"source": "14", "target": "27", "source_name": "cohomology ring", "target_name": "lie group", "weight": 1.0, "year": 2019}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 1.0, "year": 2019}, {"source": "14", "target": "33", "source_name": "cohomology ring", "target_name": "generating function", "weight": 1.0, "year": 2019}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2019}, {"source": "15", "target": "16", "source_name": "vector space", "target_name": "moduli space", "weight": 1.0, "year": 2019}, {"source": "15", "target": "17", "source_name": "vector space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2019}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2019}, {"source": "15", "target": "23", "source_name": "vector space", "target_name": "projective space", "weight": 2.0, "year": 2019}, {"source": "15", "target": "26", "source_name": "vector space", "target_name": "finite field", "weight": 2.0, "year": 2019}, {"source": "15", "target": "27", "source_name": "vector space", "target_name": "lie group", "weight": 1.0, "year": 2019}, {"source": "15", "target": "30", "source_name": "vector space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2019}, {"source": "15", "target": "31", "source_name": "vector space", "target_name": "flag variety", "weight": 2.0, "year": 2019}, {"source": "15", "target": "34", "source_name": "vector space", "target_name": "rational function", "weight": 1.0, "year": 2019}, {"source": "15", "target": "35", "source_name": "vector space", "target_name": "reductive group", "weight": 1.0, "year": 2019}, {"source": "16", "target": "17", "source_name": "moduli space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2019}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2019}, {"source": "16", "target": "20", "source_name": "moduli space", "target_name": "gauge group", "weight": 2.0, "year": 2019}, {"source": "16", "target": "21", "source_name": "moduli space", "target_name": "fixed point", "weight": 3.0, "year": 2019}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 5.0, "year": 2019}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 14.0, "year": 2019}, {"source": "16", "target": "24", "source_name": "moduli space", "target_name": "algebraic varieties", "weight": 2.0, "year": 2019}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2019}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 5.0, "year": 2019}, {"source": "16", "target": "27", "source_name": "moduli space", "target_name": "lie group", "weight": 2.0, "year": 2019}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 2.0, "year": 2019}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 5.0, "year": 2019}, {"source": "16", "target": "31", "source_name": "moduli space", "target_name": "flag variety", "weight": 4.0, "year": 2019}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 5.0, "year": 2019}, {"source": "16", "target": "34", "source_name": "moduli space", "target_name": "rational function", "weight": 1.0, "year": 2019}, {"source": "16", "target": "35", "source_name": "moduli space", "target_name": "reductive group", "weight": 9.0, "year": 2019}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 10.0, "year": 2019}, {"source": "16", "target": "37", "source_name": "moduli space", "target_name": "riemann surfaces", "weight": 2.0, "year": 2019}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2019}, {"source": "17", "target": "20", "source_name": "dynkin diagram", "target_name": "gauge group", "weight": 4.0, "year": 2019}, {"source": "17", "target": "21", "source_name": "dynkin diagram", "target_name": "fixed point", "weight": 2.0, "year": 2019}, {"source": "17", "target": "22", "source_name": "dynkin diagram", "target_name": "gauge theory", "weight": 2.0, "year": 2019}, {"source": "17", "target": "28", "source_name": "dynkin diagram", "target_name": "string theory", "weight": 2.0, "year": 2019}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2019}, {"source": "17", "target": "36", "source_name": "dynkin diagram", "target_name": "gauge theories", "weight": 3.0, "year": 2019}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 2.0, "year": 2019}, {"source": "19", "target": "20", "source_name": "symmetric group", "target_name": "gauge group", "weight": 2.0, "year": 2019}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2019}, {"source": "19", "target": "36", "source_name": "symmetric group", "target_name": "gauge theories", "weight": 2.0, "year": 2019}, {"source": "19", "target": "37", "source_name": "symmetric group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2019}, {"source": "20", "target": "21", "source_name": "gauge group", "target_name": "fixed point", "weight": 3.0, "year": 2019}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 9.0, "year": 2019}, {"source": "20", "target": "28", "source_name": "gauge group", "target_name": "string theory", "weight": 4.0, "year": 2019}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 17.0, "year": 2019}, {"source": "20", "target": "37", "source_name": "gauge group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2019}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 6.0, "year": 2019}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2019}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2019}, {"source": "21", "target": "28", "source_name": "fixed point", "target_name": "string theory", "weight": 2.0, "year": 2019}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2019}, {"source": "21", "target": "33", "source_name": "fixed point", "target_name": "generating function", "weight": 1.0, "year": 2019}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 8.0, "year": 2019}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 4.0, "year": 2019}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 2.0, "year": 2019}, {"source": "22", "target": "35", "source_name": "gauge theory", "target_name": "reductive group", "weight": 1.0, "year": 2019}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 22.0, "year": 2019}, {"source": "22", "target": "37", "source_name": "gauge theory", "target_name": "riemann surfaces", "weight": 1.0, "year": 2019}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2019}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2019}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2019}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2019}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2019}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2019}, {"source": "24", "target": "36", "source_name": "algebraic varieties", "target_name": "gauge theories", "weight": 1.0, "year": 2019}, {"source": "25", "target": "26", "source_name": "closed form", "target_name": "finite field", "weight": 4.0, "year": 2019}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2019}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2019}, {"source": "26", "target": "34", "source_name": "finite field", "target_name": "rational function", "weight": 3.0, "year": 2019}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 4.0, "year": 2019}, {"source": "27", "target": "30", "source_name": "lie group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2019}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2019}, {"source": "27", "target": "36", "source_name": "lie group", "target_name": "gauge theories", "weight": 1.0, "year": 2019}, {"source": "27", "target": "39", "source_name": "lie group", "target_name": "hilbert space", "weight": 3.0, "year": 2019}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 4.0, "year": 2019}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2019}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2019}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2019}, {"source": "30", "target": "37", "source_name": "algebraic geometry", "target_name": "riemann surfaces", "weight": 1.0, "year": 2019}, {"source": "31", "target": "33", "source_name": "flag variety", "target_name": "generating function", "weight": 2.0, "year": 2019}, {"source": "31", "target": "35", "source_name": "flag variety", "target_name": "reductive group", "weight": 1.0, "year": 2019}, {"source": "31", "target": "36", "source_name": "flag variety", "target_name": "gauge theories", "weight": 1.0, "year": 2019}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2019}, {"source": "33", "target": "34", "source_name": "generating function", "target_name": "rational function", "weight": 1.0, "year": 2019}, {"source": "33", "target": "36", "source_name": "generating function", "target_name": "gauge theories", "weight": 3.0, "year": 2019}, {"source": "34", "target": "36", "source_name": "rational function", "target_name": "gauge theories", "weight": 1.0, "year": 2019}, {"source": "36", "target": "37", "source_name": "gauge theories", "target_name": "riemann surfaces", "weight": 2.0, "year": 2019}, {"source": "38", "target": "39", "source_name": "abelian group", "target_name": "hilbert space", "weight": 2.0, "year": 2019}]}, {"2020": [{"source": "0", "target": "1", "source_name": "weyl group", "target_name": "directed graph", "weight": 1.0, "year": 2020}, {"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2020}, {"source": "0", "target": "7", "source_name": "weyl group", "target_name": "dimension vectors", "weight": 1.0, "year": 2020}, {"source": "0", "target": "10", "source_name": "weyl group", "target_name": "euler characteristic", "weight": 1.0, "year": 2020}, {"source": "0", "target": "11", "source_name": "weyl group", "target_name": "lie algebra", "weight": 1.0, "year": 2020}, {"source": "0", "target": "13", "source_name": "weyl group", "target_name": "homogeneous space", "weight": 1.0, "year": 2020}, {"source": "0", "target": "16", "source_name": "weyl group", "target_name": "moduli space", "weight": 2.0, "year": 2020}, {"source": "0", "target": "17", "source_name": "weyl group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2020}, {"source": "0", "target": "21", "source_name": "weyl group", "target_name": "fixed point", "weight": 1.0, "year": 2020}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2020}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 3.0, "year": 2020}, {"source": "0", "target": "33", "source_name": "weyl group", "target_name": "generating function", "weight": 3.0, "year": 2020}, {"source": "0", "target": "35", "source_name": "weyl group", "target_name": "reductive group", "weight": 2.0, "year": 2020}, {"source": "0", "target": "37", "source_name": "weyl group", "target_name": "riemann surfaces", "weight": 1.0, "year": 2020}, {"source": "1", "target": "8", "source_name": "directed graph", "target_name": "quantum group", "weight": 1.0, "year": 2020}, {"source": "1", "target": "11", "source_name": "directed graph", "target_name": "lie algebra", "weight": 1.0, "year": 2020}, {"source": "1", "target": "15", "source_name": "directed graph", "target_name": "vector space", "weight": 3.0, "year": 2020}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 3.0, "year": 2020}, {"source": "1", "target": "30", "source_name": "directed graph", "target_name": "algebraic geometry", "weight": 1.0, "year": 2020}, {"source": "1", "target": "34", "source_name": "directed graph", "target_name": "rational function", "weight": 3.0, "year": 2020}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 2.0, "year": 2020}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2020}, {"source": "2", "target": "9", "source_name": "stable representations", "target_name": "euclidean space", "weight": 1.0, "year": 2020}, {"source": "2", "target": "10", "source_name": "stable representations", "target_name": "euler characteristic", "weight": 1.0, "year": 2020}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2020}, {"source": "2", "target": "12", "source_name": "stable representations", "target_name": "direct sum", "weight": 2.0, "year": 2020}, {"source": "2", "target": "15", "source_name": "stable representations", "target_name": "vector space", "weight": 1.0, "year": 2020}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 17.0, "year": 2020}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2020}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2020}, {"source": "2", "target": "22", "source_name": "stable representations", "target_name": "gauge theory", "weight": 1.0, "year": 2020}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2020}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2020}, {"source": "2", "target": "31", "source_name": "stable representations", "target_name": "flag variety", "weight": 3.0, "year": 2020}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2020}, {"source": "2", "target": "35", "source_name": "stable representations", "target_name": "reductive group", "weight": 1.0, "year": 2020}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2020}, {"source": "3", "target": "16", "source_name": "projective variety", "target_name": "moduli space", "weight": 5.0, "year": 2020}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2020}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 4.0, "year": 2020}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2020}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2020}, {"source": "3", "target": "35", "source_name": "projective variety", "target_name": "reductive group", "weight": 2.0, "year": 2020}, {"source": "5", "target": "6", "source_name": "rational numbers", "target_name": "algebraic group", "weight": 4.0, "year": 2020}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2020}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2020}, {"source": "5", "target": "34", "source_name": "rational numbers", "target_name": "rational function", "weight": 1.0, "year": 2020}, {"source": "5", "target": "35", "source_name": "rational numbers", "target_name": "reductive group", "weight": 4.0, "year": 2020}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2020}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2020}, {"source": "6", "target": "11", "source_name": "algebraic group", "target_name": "lie algebra", "weight": 1.0, "year": 2020}, {"source": "6", "target": "13", "source_name": "algebraic group", "target_name": "homogeneous space", "weight": 1.0, "year": 2020}, {"source": "6", "target": "16", "source_name": "algebraic group", "target_name": "moduli space", "weight": 2.0, "year": 2020}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2020}, {"source": "6", "target": "22", "source_name": "algebraic group", "target_name": "gauge theory", "weight": 1.0, "year": 2020}, {"source": "6", "target": "24", "source_name": "algebraic group", "target_name": "algebraic varieties", "weight": 1.0, "year": 2020}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2020}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2020}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2020}, {"source": "6", "target": "35", "source_name": "algebraic group", "target_name": "reductive group", "weight": 4.0, "year": 2020}, {"source": "7", "target": "10", "source_name": "dimension vectors", "target_name": "euler characteristic", "weight": 3.0, "year": 2020}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 3.0, "year": 2020}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2020}, {"source": "7", "target": "15", "source_name": "dimension vectors", "target_name": "vector space", "weight": 1.0, "year": 2020}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 8.0, "year": 2020}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2020}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2020}, {"source": "7", "target": "30", "source_name": "dimension vectors", "target_name": "algebraic geometry", "weight": 1.0, "year": 2020}, {"source": "7", "target": "31", "source_name": "dimension vectors", "target_name": "flag variety", "weight": 1.0, "year": 2020}, {"source": "7", "target": "35", "source_name": "dimension vectors", "target_name": "reductive group", "weight": 1.0, "year": 2020}, {"source": "7", "target": "37", "source_name": "dimension vectors", "target_name": "riemann surfaces", "weight": 1.0, "year": 2020}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 11.0, "year": 2020}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 3.0, "year": 2020}, {"source": "8", "target": "16", "source_name": "quantum group", "target_name": "moduli space", "weight": 1.0, "year": 2020}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2020}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 5.0, "year": 2020}, {"source": "8", "target": "34", "source_name": "quantum group", "target_name": "rational function", "weight": 1.0, "year": 2020}, {"source": "9", "target": "13", "source_name": "euclidean space", "target_name": "homogeneous space", "weight": 3.0, "year": 2020}, {"source": "9", "target": "16", "source_name": "euclidean space", "target_name": "moduli space", "weight": 1.0, "year": 2020}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2020}, {"source": "9", "target": "25", "source_name": "euclidean space", "target_name": "closed form", "weight": 2.0, "year": 2020}, {"source": "9", "target": "36", "source_name": "euclidean space", "target_name": "gauge theories", "weight": 1.0, "year": 2020}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 5.0, "year": 2020}, {"source": "10", "target": "11", "source_name": "euler characteristic", "target_name": "lie algebra", "weight": 1.0, "year": 2020}, {"source": "10", "target": "12", "source_name": "euler characteristic", "target_name": "direct sum", "weight": 1.0, "year": 2020}, {"source": "10", "target": "16", "source_name": "euler characteristic", "target_name": "moduli space", "weight": 7.0, "year": 2020}, {"source": "10", "target": "21", "source_name": "euler characteristic", "target_name": "fixed point", "weight": 1.0, "year": 2020}, {"source": "10", "target": "23", "source_name": "euler characteristic", "target_name": "projective space", "weight": 1.0, "year": 2020}, {"source": "10", "target": "26", "source_name": "euler characteristic", "target_name": "finite field", "weight": 2.0, "year": 2020}, {"source": "10", "target": "30", "source_name": "euler characteristic", "target_name": "algebraic geometry", "weight": 1.0, "year": 2020}, {"source": "10", "target": "33", "source_name": "euler characteristic", "target_name": "generating function", "weight": 4.0, "year": 2020}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2020}, {"source": "11", "target": "14", "source_name": "lie algebra", "target_name": "cohomology ring", "weight": 1.0, "year": 2020}, {"source": "11", "target": "15", "source_name": "lie algebra", "target_name": "vector space", "weight": 1.0, "year": 2020}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 6.0, "year": 2020}, {"source": "11", "target": "17", "source_name": "lie algebra", "target_name": "dynkin diagram", "weight": 1.0, "year": 2020}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2020}, {"source": "11", "target": "20", "source_name": "lie algebra", "target_name": "gauge group", "weight": 1.0, "year": 2020}, {"source": "11", "target": "21", "source_name": "lie algebra", "target_name": "fixed point", "weight": 2.0, "year": 2020}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 2.0, "year": 2020}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 4.0, "year": 2020}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 2.0, "year": 2020}, {"source": "11", "target": "33", "source_name": "lie algebra", "target_name": "generating function", "weight": 2.0, "year": 2020}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2020}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2020}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2020}, {"source": "12", "target": "13", "source_name": "direct sum", "target_name": "homogeneous space", "weight": 1.0, "year": 2020}, {"source": "12", "target": "15", "source_name": "direct sum", "target_name": "vector space", "weight": 1.0, "year": 2020}, {"source": "12", "target": "16", "source_name": "direct sum", "target_name": "moduli space", "weight": 2.0, "year": 2020}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 2.0, "year": 2020}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2020}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2020}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2020}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 4.0, "year": 2020}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2020}, {"source": "12", "target": "39", "source_name": "direct sum", "target_name": "hilbert space", "weight": 2.0, "year": 2020}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 2.0, "year": 2020}, {"source": "13", "target": "16", "source_name": "homogeneous space", "target_name": "moduli space", "weight": 1.0, "year": 2020}, {"source": "13", "target": "21", "source_name": "homogeneous space", "target_name": "fixed point", "weight": 1.0, "year": 2020}, {"source": "13", "target": "22", "source_name": "homogeneous space", "target_name": "gauge theory", "weight": 2.0, "year": 2020}, {"source": "13", "target": "23", "source_name": "homogeneous space", "target_name": "projective space", "weight": 1.0, "year": 2020}, {"source": "13", "target": "27", "source_name": "homogeneous space", "target_name": "lie group", "weight": 2.0, "year": 2020}, {"source": "13", "target": "34", "source_name": "homogeneous space", "target_name": "rational function", "weight": 1.0, "year": 2020}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 4.0, "year": 2020}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 6.0, "year": 2020}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2020}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 3.0, "year": 2020}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2020}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2020}, {"source": "14", "target": "27", "source_name": "cohomology ring", "target_name": "lie group", "weight": 1.0, "year": 2020}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 3.0, "year": 2020}, {"source": "14", "target": "33", "source_name": "cohomology ring", "target_name": "generating function", "weight": 1.0, "year": 2020}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2020}, {"source": "15", "target": "16", "source_name": "vector space", "target_name": "moduli space", "weight": 2.0, "year": 2020}, {"source": "15", "target": "17", "source_name": "vector space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2020}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2020}, {"source": "15", "target": "22", "source_name": "vector space", "target_name": "gauge theory", "weight": 1.0, "year": 2020}, {"source": "15", "target": "23", "source_name": "vector space", "target_name": "projective space", "weight": 2.0, "year": 2020}, {"source": "15", "target": "26", "source_name": "vector space", "target_name": "finite field", "weight": 2.0, "year": 2020}, {"source": "15", "target": "27", "source_name": "vector space", "target_name": "lie group", "weight": 1.0, "year": 2020}, {"source": "15", "target": "30", "source_name": "vector space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2020}, {"source": "15", "target": "31", "source_name": "vector space", "target_name": "flag variety", "weight": 2.0, "year": 2020}, {"source": "15", "target": "34", "source_name": "vector space", "target_name": "rational function", "weight": 1.0, "year": 2020}, {"source": "15", "target": "35", "source_name": "vector space", "target_name": "reductive group", "weight": 2.0, "year": 2020}, {"source": "16", "target": "17", "source_name": "moduli space", "target_name": "dynkin diagram", "weight": 2.0, "year": 2020}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2020}, {"source": "16", "target": "20", "source_name": "moduli space", "target_name": "gauge group", "weight": 7.0, "year": 2020}, {"source": "16", "target": "21", "source_name": "moduli space", "target_name": "fixed point", "weight": 6.0, "year": 2020}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 11.0, "year": 2020}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 14.0, "year": 2020}, {"source": "16", "target": "24", "source_name": "moduli space", "target_name": "algebraic varieties", "weight": 2.0, "year": 2020}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2020}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 5.0, "year": 2020}, {"source": "16", "target": "27", "source_name": "moduli space", "target_name": "lie group", "weight": 2.0, "year": 2020}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 2.0, "year": 2020}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 5.0, "year": 2020}, {"source": "16", "target": "31", "source_name": "moduli space", "target_name": "flag variety", "weight": 4.0, "year": 2020}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 6.0, "year": 2020}, {"source": "16", "target": "34", "source_name": "moduli space", "target_name": "rational function", "weight": 1.0, "year": 2020}, {"source": "16", "target": "35", "source_name": "moduli space", "target_name": "reductive group", "weight": 10.0, "year": 2020}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 15.0, "year": 2020}, {"source": "16", "target": "37", "source_name": "moduli space", "target_name": "riemann surfaces", "weight": 3.0, "year": 2020}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2020}, {"source": "17", "target": "20", "source_name": "dynkin diagram", "target_name": "gauge group", "weight": 5.0, "year": 2020}, {"source": "17", "target": "21", "source_name": "dynkin diagram", "target_name": "fixed point", "weight": 2.0, "year": 2020}, {"source": "17", "target": "22", "source_name": "dynkin diagram", "target_name": "gauge theory", "weight": 2.0, "year": 2020}, {"source": "17", "target": "28", "source_name": "dynkin diagram", "target_name": "string theory", "weight": 2.0, "year": 2020}, {"source": "17", "target": "33", "source_name": "dynkin diagram", "target_name": "generating function", "weight": 1.0, "year": 2020}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2020}, {"source": "17", "target": "36", "source_name": "dynkin diagram", "target_name": "gauge theories", "weight": 3.0, "year": 2020}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 2.0, "year": 2020}, {"source": "19", "target": "20", "source_name": "symmetric group", "target_name": "gauge group", "weight": 2.0, "year": 2020}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2020}, {"source": "19", "target": "36", "source_name": "symmetric group", "target_name": "gauge theories", "weight": 2.0, "year": 2020}, {"source": "19", "target": "37", "source_name": "symmetric group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2020}, {"source": "20", "target": "21", "source_name": "gauge group", "target_name": "fixed point", "weight": 6.0, "year": 2020}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 13.0, "year": 2020}, {"source": "20", "target": "28", "source_name": "gauge group", "target_name": "string theory", "weight": 4.0, "year": 2020}, {"source": "20", "target": "33", "source_name": "gauge group", "target_name": "generating function", "weight": 1.0, "year": 2020}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 21.0, "year": 2020}, {"source": "20", "target": "37", "source_name": "gauge group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2020}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 9.0, "year": 2020}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2020}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2020}, {"source": "21", "target": "28", "source_name": "fixed point", "target_name": "string theory", "weight": 2.0, "year": 2020}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2020}, {"source": "21", "target": "33", "source_name": "fixed point", "target_name": "generating function", "weight": 1.0, "year": 2020}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 11.0, "year": 2020}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 4.0, "year": 2020}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 2.0, "year": 2020}, {"source": "22", "target": "35", "source_name": "gauge theory", "target_name": "reductive group", "weight": 2.0, "year": 2020}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 27.0, "year": 2020}, {"source": "22", "target": "37", "source_name": "gauge theory", "target_name": "riemann surfaces", "weight": 2.0, "year": 2020}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2020}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2020}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2020}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2020}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2020}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2020}, {"source": "24", "target": "36", "source_name": "algebraic varieties", "target_name": "gauge theories", "weight": 2.0, "year": 2020}, {"source": "25", "target": "26", "source_name": "closed form", "target_name": "finite field", "weight": 4.0, "year": 2020}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2020}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2020}, {"source": "26", "target": "34", "source_name": "finite field", "target_name": "rational function", "weight": 3.0, "year": 2020}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 4.0, "year": 2020}, {"source": "27", "target": "30", "source_name": "lie group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2020}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2020}, {"source": "27", "target": "36", "source_name": "lie group", "target_name": "gauge theories", "weight": 1.0, "year": 2020}, {"source": "27", "target": "39", "source_name": "lie group", "target_name": "hilbert space", "weight": 3.0, "year": 2020}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 4.0, "year": 2020}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2020}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2020}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2020}, {"source": "30", "target": "37", "source_name": "algebraic geometry", "target_name": "riemann surfaces", "weight": 1.0, "year": 2020}, {"source": "31", "target": "33", "source_name": "flag variety", "target_name": "generating function", "weight": 2.0, "year": 2020}, {"source": "31", "target": "35", "source_name": "flag variety", "target_name": "reductive group", "weight": 1.0, "year": 2020}, {"source": "31", "target": "36", "source_name": "flag variety", "target_name": "gauge theories", "weight": 1.0, "year": 2020}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2020}, {"source": "33", "target": "34", "source_name": "generating function", "target_name": "rational function", "weight": 1.0, "year": 2020}, {"source": "33", "target": "36", "source_name": "generating function", "target_name": "gauge theories", "weight": 5.0, "year": 2020}, {"source": "34", "target": "36", "source_name": "rational function", "target_name": "gauge theories", "weight": 1.0, "year": 2020}, {"source": "36", "target": "37", "source_name": "gauge theories", "target_name": "riemann surfaces", "weight": 3.0, "year": 2020}, {"source": "38", "target": "39", "source_name": "abelian group", "target_name": "hilbert space", "weight": 2.0, "year": 2020}]}, {"2021": [{"source": "0", "target": "1", "source_name": "weyl group", "target_name": "directed graph", "weight": 1.0, "year": 2021}, {"source": "0", "target": "3", "source_name": "weyl group", "target_name": "projective variety", "weight": 1.0, "year": 2021}, {"source": "0", "target": "7", "source_name": "weyl group", "target_name": "dimension vectors", "weight": 1.0, "year": 2021}, {"source": "0", "target": "8", "source_name": "weyl group", "target_name": "quantum group", "weight": 1.0, "year": 2021}, {"source": "0", "target": "10", "source_name": "weyl group", "target_name": "euler characteristic", "weight": 1.0, "year": 2021}, {"source": "0", "target": "11", "source_name": "weyl group", "target_name": "lie algebra", "weight": 1.0, "year": 2021}, {"source": "0", "target": "13", "source_name": "weyl group", "target_name": "homogeneous space", "weight": 1.0, "year": 2021}, {"source": "0", "target": "16", "source_name": "weyl group", "target_name": "moduli space", "weight": 2.0, "year": 2021}, {"source": "0", "target": "17", "source_name": "weyl group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2021}, {"source": "0", "target": "21", "source_name": "weyl group", "target_name": "fixed point", "weight": 1.0, "year": 2021}, {"source": "0", "target": "27", "source_name": "weyl group", "target_name": "lie group", "weight": 1.0, "year": 2021}, {"source": "0", "target": "31", "source_name": "weyl group", "target_name": "flag variety", "weight": 3.0, "year": 2021}, {"source": "0", "target": "33", "source_name": "weyl group", "target_name": "generating function", "weight": 3.0, "year": 2021}, {"source": "0", "target": "35", "source_name": "weyl group", "target_name": "reductive group", "weight": 2.0, "year": 2021}, {"source": "0", "target": "37", "source_name": "weyl group", "target_name": "riemann surfaces", "weight": 1.0, "year": 2021}, {"source": "1", "target": "8", "source_name": "directed graph", "target_name": "quantum group", "weight": 1.0, "year": 2021}, {"source": "1", "target": "11", "source_name": "directed graph", "target_name": "lie algebra", "weight": 1.0, "year": 2021}, {"source": "1", "target": "15", "source_name": "directed graph", "target_name": "vector space", "weight": 3.0, "year": 2021}, {"source": "1", "target": "17", "source_name": "directed graph", "target_name": "dynkin diagram", "weight": 3.0, "year": 2021}, {"source": "1", "target": "30", "source_name": "directed graph", "target_name": "algebraic geometry", "weight": 1.0, "year": 2021}, {"source": "1", "target": "34", "source_name": "directed graph", "target_name": "rational function", "weight": 3.0, "year": 2021}, {"source": "1", "target": "39", "source_name": "directed graph", "target_name": "hilbert space", "weight": 2.0, "year": 2021}, {"source": "2", "target": "7", "source_name": "stable representations", "target_name": "dimension vectors", "weight": 4.0, "year": 2021}, {"source": "2", "target": "9", "source_name": "stable representations", "target_name": "euclidean space", "weight": 1.0, "year": 2021}, {"source": "2", "target": "10", "source_name": "stable representations", "target_name": "euler characteristic", "weight": 1.0, "year": 2021}, {"source": "2", "target": "11", "source_name": "stable representations", "target_name": "lie algebra", "weight": 1.0, "year": 2021}, {"source": "2", "target": "12", "source_name": "stable representations", "target_name": "direct sum", "weight": 2.0, "year": 2021}, {"source": "2", "target": "15", "source_name": "stable representations", "target_name": "vector space", "weight": 1.0, "year": 2021}, {"source": "2", "target": "16", "source_name": "stable representations", "target_name": "moduli space", "weight": 17.0, "year": 2021}, {"source": "2", "target": "19", "source_name": "stable representations", "target_name": "symmetric group", "weight": 1.0, "year": 2021}, {"source": "2", "target": "21", "source_name": "stable representations", "target_name": "fixed point", "weight": 2.0, "year": 2021}, {"source": "2", "target": "22", "source_name": "stable representations", "target_name": "gauge theory", "weight": 1.0, "year": 2021}, {"source": "2", "target": "26", "source_name": "stable representations", "target_name": "finite field", "weight": 3.0, "year": 2021}, {"source": "2", "target": "30", "source_name": "stable representations", "target_name": "algebraic geometry", "weight": 1.0, "year": 2021}, {"source": "2", "target": "31", "source_name": "stable representations", "target_name": "flag variety", "weight": 3.0, "year": 2021}, {"source": "2", "target": "33", "source_name": "stable representations", "target_name": "generating function", "weight": 1.0, "year": 2021}, {"source": "2", "target": "35", "source_name": "stable representations", "target_name": "reductive group", "weight": 1.0, "year": 2021}, {"source": "2", "target": "38", "source_name": "stable representations", "target_name": "abelian group", "weight": 2.0, "year": 2021}, {"source": "3", "target": "16", "source_name": "projective variety", "target_name": "moduli space", "weight": 5.0, "year": 2021}, {"source": "3", "target": "19", "source_name": "projective variety", "target_name": "symmetric group", "weight": 1.0, "year": 2021}, {"source": "3", "target": "23", "source_name": "projective variety", "target_name": "projective space", "weight": 4.0, "year": 2021}, {"source": "3", "target": "27", "source_name": "projective variety", "target_name": "lie group", "weight": 1.0, "year": 2021}, {"source": "3", "target": "31", "source_name": "projective variety", "target_name": "flag variety", "weight": 1.0, "year": 2021}, {"source": "3", "target": "35", "source_name": "projective variety", "target_name": "reductive group", "weight": 2.0, "year": 2021}, {"source": "5", "target": "6", "source_name": "rational numbers", "target_name": "algebraic group", "weight": 4.0, "year": 2021}, {"source": "5", "target": "11", "source_name": "rational numbers", "target_name": "lie algebra", "weight": 1.0, "year": 2021}, {"source": "5", "target": "26", "source_name": "rational numbers", "target_name": "finite field", "weight": 1.0, "year": 2021}, {"source": "5", "target": "34", "source_name": "rational numbers", "target_name": "rational function", "weight": 1.0, "year": 2021}, {"source": "5", "target": "35", "source_name": "rational numbers", "target_name": "reductive group", "weight": 4.0, "year": 2021}, {"source": "5", "target": "36", "source_name": "rational numbers", "target_name": "gauge theories", "weight": 4.0, "year": 2021}, {"source": "6", "target": "8", "source_name": "algebraic group", "target_name": "quantum group", "weight": 1.0, "year": 2021}, {"source": "6", "target": "11", "source_name": "algebraic group", "target_name": "lie algebra", "weight": 1.0, "year": 2021}, {"source": "6", "target": "13", "source_name": "algebraic group", "target_name": "homogeneous space", "weight": 1.0, "year": 2021}, {"source": "6", "target": "16", "source_name": "algebraic group", "target_name": "moduli space", "weight": 2.0, "year": 2021}, {"source": "6", "target": "17", "source_name": "algebraic group", "target_name": "dynkin diagram", "weight": 1.0, "year": 2021}, {"source": "6", "target": "22", "source_name": "algebraic group", "target_name": "gauge theory", "weight": 1.0, "year": 2021}, {"source": "6", "target": "24", "source_name": "algebraic group", "target_name": "algebraic varieties", "weight": 1.0, "year": 2021}, {"source": "6", "target": "26", "source_name": "algebraic group", "target_name": "finite field", "weight": 1.0, "year": 2021}, {"source": "6", "target": "30", "source_name": "algebraic group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2021}, {"source": "6", "target": "31", "source_name": "algebraic group", "target_name": "flag variety", "weight": 1.0, "year": 2021}, {"source": "6", "target": "35", "source_name": "algebraic group", "target_name": "reductive group", "weight": 4.0, "year": 2021}, {"source": "7", "target": "10", "source_name": "dimension vectors", "target_name": "euler characteristic", "weight": 3.0, "year": 2021}, {"source": "7", "target": "11", "source_name": "dimension vectors", "target_name": "lie algebra", "weight": 3.0, "year": 2021}, {"source": "7", "target": "12", "source_name": "dimension vectors", "target_name": "direct sum", "weight": 1.0, "year": 2021}, {"source": "7", "target": "15", "source_name": "dimension vectors", "target_name": "vector space", "weight": 1.0, "year": 2021}, {"source": "7", "target": "16", "source_name": "dimension vectors", "target_name": "moduli space", "weight": 8.0, "year": 2021}, {"source": "7", "target": "21", "source_name": "dimension vectors", "target_name": "fixed point", "weight": 1.0, "year": 2021}, {"source": "7", "target": "26", "source_name": "dimension vectors", "target_name": "finite field", "weight": 4.0, "year": 2021}, {"source": "7", "target": "30", "source_name": "dimension vectors", "target_name": "algebraic geometry", "weight": 1.0, "year": 2021}, {"source": "7", "target": "31", "source_name": "dimension vectors", "target_name": "flag variety", "weight": 1.0, "year": 2021}, {"source": "7", "target": "35", "source_name": "dimension vectors", "target_name": "reductive group", "weight": 1.0, "year": 2021}, {"source": "7", "target": "37", "source_name": "dimension vectors", "target_name": "riemann surfaces", "weight": 1.0, "year": 2021}, {"source": "8", "target": "11", "source_name": "quantum group", "target_name": "lie algebra", "weight": 11.0, "year": 2021}, {"source": "8", "target": "15", "source_name": "quantum group", "target_name": "vector space", "weight": 3.0, "year": 2021}, {"source": "8", "target": "16", "source_name": "quantum group", "target_name": "moduli space", "weight": 1.0, "year": 2021}, {"source": "8", "target": "26", "source_name": "quantum group", "target_name": "finite field", "weight": 2.0, "year": 2021}, {"source": "8", "target": "30", "source_name": "quantum group", "target_name": "algebraic geometry", "weight": 5.0, "year": 2021}, {"source": "8", "target": "34", "source_name": "quantum group", "target_name": "rational function", "weight": 1.0, "year": 2021}, {"source": "9", "target": "13", "source_name": "euclidean space", "target_name": "homogeneous space", "weight": 3.0, "year": 2021}, {"source": "9", "target": "16", "source_name": "euclidean space", "target_name": "moduli space", "weight": 1.0, "year": 2021}, {"source": "9", "target": "19", "source_name": "euclidean space", "target_name": "symmetric group", "weight": 1.0, "year": 2021}, {"source": "9", "target": "23", "source_name": "euclidean space", "target_name": "projective space", "weight": 2.0, "year": 2021}, {"source": "9", "target": "25", "source_name": "euclidean space", "target_name": "closed form", "weight": 2.0, "year": 2021}, {"source": "9", "target": "36", "source_name": "euclidean space", "target_name": "gauge theories", "weight": 1.0, "year": 2021}, {"source": "9", "target": "39", "source_name": "euclidean space", "target_name": "hilbert space", "weight": 5.0, "year": 2021}, {"source": "10", "target": "11", "source_name": "euler characteristic", "target_name": "lie algebra", "weight": 1.0, "year": 2021}, {"source": "10", "target": "12", "source_name": "euler characteristic", "target_name": "direct sum", "weight": 1.0, "year": 2021}, {"source": "10", "target": "16", "source_name": "euler characteristic", "target_name": "moduli space", "weight": 7.0, "year": 2021}, {"source": "10", "target": "21", "source_name": "euler characteristic", "target_name": "fixed point", "weight": 1.0, "year": 2021}, {"source": "10", "target": "23", "source_name": "euler characteristic", "target_name": "projective space", "weight": 1.0, "year": 2021}, {"source": "10", "target": "26", "source_name": "euler characteristic", "target_name": "finite field", "weight": 2.0, "year": 2021}, {"source": "10", "target": "30", "source_name": "euler characteristic", "target_name": "algebraic geometry", "weight": 1.0, "year": 2021}, {"source": "10", "target": "33", "source_name": "euler characteristic", "target_name": "generating function", "weight": 4.0, "year": 2021}, {"source": "11", "target": "13", "source_name": "lie algebra", "target_name": "homogeneous space", "weight": 1.0, "year": 2021}, {"source": "11", "target": "14", "source_name": "lie algebra", "target_name": "cohomology ring", "weight": 1.0, "year": 2021}, {"source": "11", "target": "15", "source_name": "lie algebra", "target_name": "vector space", "weight": 1.0, "year": 2021}, {"source": "11", "target": "16", "source_name": "lie algebra", "target_name": "moduli space", "weight": 6.0, "year": 2021}, {"source": "11", "target": "17", "source_name": "lie algebra", "target_name": "dynkin diagram", "weight": 1.0, "year": 2021}, {"source": "11", "target": "19", "source_name": "lie algebra", "target_name": "symmetric group", "weight": 1.0, "year": 2021}, {"source": "11", "target": "20", "source_name": "lie algebra", "target_name": "gauge group", "weight": 1.0, "year": 2021}, {"source": "11", "target": "21", "source_name": "lie algebra", "target_name": "fixed point", "weight": 2.0, "year": 2021}, {"source": "11", "target": "22", "source_name": "lie algebra", "target_name": "gauge theory", "weight": 2.0, "year": 2021}, {"source": "11", "target": "26", "source_name": "lie algebra", "target_name": "finite field", "weight": 4.0, "year": 2021}, {"source": "11", "target": "30", "source_name": "lie algebra", "target_name": "algebraic geometry", "weight": 2.0, "year": 2021}, {"source": "11", "target": "33", "source_name": "lie algebra", "target_name": "generating function", "weight": 2.0, "year": 2021}, {"source": "11", "target": "34", "source_name": "lie algebra", "target_name": "rational function", "weight": 3.0, "year": 2021}, {"source": "11", "target": "38", "source_name": "lie algebra", "target_name": "abelian group", "weight": 2.0, "year": 2021}, {"source": "11", "target": "39", "source_name": "lie algebra", "target_name": "hilbert space", "weight": 2.0, "year": 2021}, {"source": "12", "target": "13", "source_name": "direct sum", "target_name": "homogeneous space", "weight": 1.0, "year": 2021}, {"source": "12", "target": "15", "source_name": "direct sum", "target_name": "vector space", "weight": 1.0, "year": 2021}, {"source": "12", "target": "16", "source_name": "direct sum", "target_name": "moduli space", "weight": 2.0, "year": 2021}, {"source": "12", "target": "17", "source_name": "direct sum", "target_name": "dynkin diagram", "weight": 2.0, "year": 2021}, {"source": "12", "target": "21", "source_name": "direct sum", "target_name": "fixed point", "weight": 1.0, "year": 2021}, {"source": "12", "target": "23", "source_name": "direct sum", "target_name": "projective space", "weight": 2.0, "year": 2021}, {"source": "12", "target": "26", "source_name": "direct sum", "target_name": "finite field", "weight": 2.0, "year": 2021}, {"source": "12", "target": "27", "source_name": "direct sum", "target_name": "lie group", "weight": 4.0, "year": 2021}, {"source": "12", "target": "35", "source_name": "direct sum", "target_name": "reductive group", "weight": 1.0, "year": 2021}, {"source": "12", "target": "39", "source_name": "direct sum", "target_name": "hilbert space", "weight": 2.0, "year": 2021}, {"source": "13", "target": "14", "source_name": "homogeneous space", "target_name": "cohomology ring", "weight": 2.0, "year": 2021}, {"source": "13", "target": "16", "source_name": "homogeneous space", "target_name": "moduli space", "weight": 1.0, "year": 2021}, {"source": "13", "target": "21", "source_name": "homogeneous space", "target_name": "fixed point", "weight": 1.0, "year": 2021}, {"source": "13", "target": "22", "source_name": "homogeneous space", "target_name": "gauge theory", "weight": 2.0, "year": 2021}, {"source": "13", "target": "23", "source_name": "homogeneous space", "target_name": "projective space", "weight": 1.0, "year": 2021}, {"source": "13", "target": "27", "source_name": "homogeneous space", "target_name": "lie group", "weight": 2.0, "year": 2021}, {"source": "13", "target": "34", "source_name": "homogeneous space", "target_name": "rational function", "weight": 1.0, "year": 2021}, {"source": "14", "target": "15", "source_name": "cohomology ring", "target_name": "vector space", "weight": 4.0, "year": 2021}, {"source": "14", "target": "16", "source_name": "cohomology ring", "target_name": "moduli space", "weight": 6.0, "year": 2021}, {"source": "14", "target": "17", "source_name": "cohomology ring", "target_name": "dynkin diagram", "weight": 1.0, "year": 2021}, {"source": "14", "target": "21", "source_name": "cohomology ring", "target_name": "fixed point", "weight": 3.0, "year": 2021}, {"source": "14", "target": "23", "source_name": "cohomology ring", "target_name": "projective space", "weight": 1.0, "year": 2021}, {"source": "14", "target": "25", "source_name": "cohomology ring", "target_name": "closed form", "weight": 1.0, "year": 2021}, {"source": "14", "target": "27", "source_name": "cohomology ring", "target_name": "lie group", "weight": 1.0, "year": 2021}, {"source": "14", "target": "31", "source_name": "cohomology ring", "target_name": "flag variety", "weight": 3.0, "year": 2021}, {"source": "14", "target": "33", "source_name": "cohomology ring", "target_name": "generating function", "weight": 1.0, "year": 2021}, {"source": "14", "target": "34", "source_name": "cohomology ring", "target_name": "rational function", "weight": 1.0, "year": 2021}, {"source": "15", "target": "16", "source_name": "vector space", "target_name": "moduli space", "weight": 2.0, "year": 2021}, {"source": "15", "target": "17", "source_name": "vector space", "target_name": "dynkin diagram", "weight": 1.0, "year": 2021}, {"source": "15", "target": "21", "source_name": "vector space", "target_name": "fixed point", "weight": 1.0, "year": 2021}, {"source": "15", "target": "22", "source_name": "vector space", "target_name": "gauge theory", "weight": 1.0, "year": 2021}, {"source": "15", "target": "23", "source_name": "vector space", "target_name": "projective space", "weight": 2.0, "year": 2021}, {"source": "15", "target": "26", "source_name": "vector space", "target_name": "finite field", "weight": 2.0, "year": 2021}, {"source": "15", "target": "27", "source_name": "vector space", "target_name": "lie group", "weight": 1.0, "year": 2021}, {"source": "15", "target": "30", "source_name": "vector space", "target_name": "algebraic geometry", "weight": 3.0, "year": 2021}, {"source": "15", "target": "31", "source_name": "vector space", "target_name": "flag variety", "weight": 2.0, "year": 2021}, {"source": "15", "target": "34", "source_name": "vector space", "target_name": "rational function", "weight": 1.0, "year": 2021}, {"source": "15", "target": "35", "source_name": "vector space", "target_name": "reductive group", "weight": 2.0, "year": 2021}, {"source": "16", "target": "17", "source_name": "moduli space", "target_name": "dynkin diagram", "weight": 2.0, "year": 2021}, {"source": "16", "target": "19", "source_name": "moduli space", "target_name": "symmetric group", "weight": 1.0, "year": 2021}, {"source": "16", "target": "20", "source_name": "moduli space", "target_name": "gauge group", "weight": 7.0, "year": 2021}, {"source": "16", "target": "21", "source_name": "moduli space", "target_name": "fixed point", "weight": 6.0, "year": 2021}, {"source": "16", "target": "22", "source_name": "moduli space", "target_name": "gauge theory", "weight": 13.0, "year": 2021}, {"source": "16", "target": "23", "source_name": "moduli space", "target_name": "projective space", "weight": 15.0, "year": 2021}, {"source": "16", "target": "24", "source_name": "moduli space", "target_name": "algebraic varieties", "weight": 2.0, "year": 2021}, {"source": "16", "target": "25", "source_name": "moduli space", "target_name": "closed form", "weight": 2.0, "year": 2021}, {"source": "16", "target": "26", "source_name": "moduli space", "target_name": "finite field", "weight": 5.0, "year": 2021}, {"source": "16", "target": "27", "source_name": "moduli space", "target_name": "lie group", "weight": 2.0, "year": 2021}, {"source": "16", "target": "28", "source_name": "moduli space", "target_name": "string theory", "weight": 2.0, "year": 2021}, {"source": "16", "target": "30", "source_name": "moduli space", "target_name": "algebraic geometry", "weight": 5.0, "year": 2021}, {"source": "16", "target": "31", "source_name": "moduli space", "target_name": "flag variety", "weight": 4.0, "year": 2021}, {"source": "16", "target": "33", "source_name": "moduli space", "target_name": "generating function", "weight": 8.0, "year": 2021}, {"source": "16", "target": "34", "source_name": "moduli space", "target_name": "rational function", "weight": 1.0, "year": 2021}, {"source": "16", "target": "35", "source_name": "moduli space", "target_name": "reductive group", "weight": 10.0, "year": 2021}, {"source": "16", "target": "36", "source_name": "moduli space", "target_name": "gauge theories", "weight": 16.0, "year": 2021}, {"source": "16", "target": "37", "source_name": "moduli space", "target_name": "riemann surfaces", "weight": 3.0, "year": 2021}, {"source": "16", "target": "38", "source_name": "moduli space", "target_name": "abelian group", "weight": 4.0, "year": 2021}, {"source": "17", "target": "20", "source_name": "dynkin diagram", "target_name": "gauge group", "weight": 5.0, "year": 2021}, {"source": "17", "target": "21", "source_name": "dynkin diagram", "target_name": "fixed point", "weight": 2.0, "year": 2021}, {"source": "17", "target": "22", "source_name": "dynkin diagram", "target_name": "gauge theory", "weight": 2.0, "year": 2021}, {"source": "17", "target": "28", "source_name": "dynkin diagram", "target_name": "string theory", "weight": 2.0, "year": 2021}, {"source": "17", "target": "33", "source_name": "dynkin diagram", "target_name": "generating function", "weight": 1.0, "year": 2021}, {"source": "17", "target": "35", "source_name": "dynkin diagram", "target_name": "reductive group", "weight": 1.0, "year": 2021}, {"source": "17", "target": "36", "source_name": "dynkin diagram", "target_name": "gauge theories", "weight": 3.0, "year": 2021}, {"source": "17", "target": "39", "source_name": "dynkin diagram", "target_name": "hilbert space", "weight": 2.0, "year": 2021}, {"source": "19", "target": "20", "source_name": "symmetric group", "target_name": "gauge group", "weight": 2.0, "year": 2021}, {"source": "19", "target": "30", "source_name": "symmetric group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2021}, {"source": "19", "target": "36", "source_name": "symmetric group", "target_name": "gauge theories", "weight": 2.0, "year": 2021}, {"source": "19", "target": "37", "source_name": "symmetric group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2021}, {"source": "20", "target": "21", "source_name": "gauge group", "target_name": "fixed point", "weight": 6.0, "year": 2021}, {"source": "20", "target": "22", "source_name": "gauge group", "target_name": "gauge theory", "weight": 13.0, "year": 2021}, {"source": "20", "target": "28", "source_name": "gauge group", "target_name": "string theory", "weight": 5.0, "year": 2021}, {"source": "20", "target": "33", "source_name": "gauge group", "target_name": "generating function", "weight": 1.0, "year": 2021}, {"source": "20", "target": "36", "source_name": "gauge group", "target_name": "gauge theories", "weight": 22.0, "year": 2021}, {"source": "20", "target": "37", "source_name": "gauge group", "target_name": "riemann surfaces", "weight": 2.0, "year": 2021}, {"source": "21", "target": "22", "source_name": "fixed point", "target_name": "gauge theory", "weight": 9.0, "year": 2021}, {"source": "21", "target": "23", "source_name": "fixed point", "target_name": "projective space", "weight": 1.0, "year": 2021}, {"source": "21", "target": "26", "source_name": "fixed point", "target_name": "finite field", "weight": 2.0, "year": 2021}, {"source": "21", "target": "28", "source_name": "fixed point", "target_name": "string theory", "weight": 2.0, "year": 2021}, {"source": "21", "target": "31", "source_name": "fixed point", "target_name": "flag variety", "weight": 1.0, "year": 2021}, {"source": "21", "target": "33", "source_name": "fixed point", "target_name": "generating function", "weight": 1.0, "year": 2021}, {"source": "21", "target": "36", "source_name": "fixed point", "target_name": "gauge theories", "weight": 11.0, "year": 2021}, {"source": "22", "target": "28", "source_name": "gauge theory", "target_name": "string theory", "weight": 5.0, "year": 2021}, {"source": "22", "target": "30", "source_name": "gauge theory", "target_name": "algebraic geometry", "weight": 2.0, "year": 2021}, {"source": "22", "target": "33", "source_name": "gauge theory", "target_name": "generating function", "weight": 2.0, "year": 2021}, {"source": "22", "target": "35", "source_name": "gauge theory", "target_name": "reductive group", "weight": 2.0, "year": 2021}, {"source": "22", "target": "36", "source_name": "gauge theory", "target_name": "gauge theories", "weight": 28.0, "year": 2021}, {"source": "22", "target": "37", "source_name": "gauge theory", "target_name": "riemann surfaces", "weight": 2.0, "year": 2021}, {"source": "23", "target": "24", "source_name": "projective space", "target_name": "algebraic varieties", "weight": 1.0, "year": 2021}, {"source": "23", "target": "26", "source_name": "projective space", "target_name": "finite field", "weight": 1.0, "year": 2021}, {"source": "23", "target": "30", "source_name": "projective space", "target_name": "algebraic geometry", "weight": 2.0, "year": 2021}, {"source": "23", "target": "32", "source_name": "projective space", "target_name": "rigid body", "weight": 1.0, "year": 2021}, {"source": "23", "target": "33", "source_name": "projective space", "target_name": "generating function", "weight": 1.0, "year": 2021}, {"source": "23", "target": "34", "source_name": "projective space", "target_name": "rational function", "weight": 1.0, "year": 2021}, {"source": "24", "target": "36", "source_name": "algebraic varieties", "target_name": "gauge theories", "weight": 2.0, "year": 2021}, {"source": "25", "target": "26", "source_name": "closed form", "target_name": "finite field", "weight": 4.0, "year": 2021}, {"source": "25", "target": "33", "source_name": "closed form", "target_name": "generating function", "weight": 1.0, "year": 2021}, {"source": "26", "target": "33", "source_name": "finite field", "target_name": "generating function", "weight": 1.0, "year": 2021}, {"source": "26", "target": "34", "source_name": "finite field", "target_name": "rational function", "weight": 3.0, "year": 2021}, {"source": "26", "target": "35", "source_name": "finite field", "target_name": "reductive group", "weight": 4.0, "year": 2021}, {"source": "27", "target": "30", "source_name": "lie group", "target_name": "algebraic geometry", "weight": 1.0, "year": 2021}, {"source": "27", "target": "31", "source_name": "lie group", "target_name": "flag variety", "weight": 1.0, "year": 2021}, {"source": "27", "target": "36", "source_name": "lie group", "target_name": "gauge theories", "weight": 1.0, "year": 2021}, {"source": "27", "target": "39", "source_name": "lie group", "target_name": "hilbert space", "weight": 3.0, "year": 2021}, {"source": "28", "target": "36", "source_name": "string theory", "target_name": "gauge theories", "weight": 6.0, "year": 2021}, {"source": "29", "target": "33", "source_name": "coxeter group", "target_name": "generating function", "weight": 1.0, "year": 2021}, {"source": "30", "target": "31", "source_name": "algebraic geometry", "target_name": "flag variety", "weight": 1.0, "year": 2021}, {"source": "30", "target": "34", "source_name": "algebraic geometry", "target_name": "rational function", "weight": 2.0, "year": 2021}, {"source": "30", "target": "37", "source_name": "algebraic geometry", "target_name": "riemann surfaces", "weight": 1.0, "year": 2021}, {"source": "31", "target": "33", "source_name": "flag variety", "target_name": "generating function", "weight": 2.0, "year": 2021}, {"source": "31", "target": "35", "source_name": "flag variety", "target_name": "reductive group", "weight": 1.0, "year": 2021}, {"source": "31", "target": "36", "source_name": "flag variety", "target_name": "gauge theories", "weight": 1.0, "year": 2021}, {"source": "32", "target": "34", "source_name": "rigid body", "target_name": "rational function", "weight": 1.0, "year": 2021}, {"source": "33", "target": "34", "source_name": "generating function", "target_name": "rational function", "weight": 1.0, "year": 2021}, {"source": "33", "target": "36", "source_name": "generating function", "target_name": "gauge theories", "weight": 6.0, "year": 2021}, {"source": "34", "target": "36", "source_name": "rational function", "target_name": "gauge theories", "weight": 1.0, "year": 2021}, {"source": "36", "target": "37", "source_name": "gauge theories", "target_name": "riemann surfaces", "weight": 3.0, "year": 2021}, {"source": "37", "target": "39", "source_name": "riemann surfaces", "target_name": "hilbert space", "weight": 1.0, "year": 2021}, {"source": "38", "target": "39", "source_name": "abelian group", "target_name": "hilbert space", "weight": 3.0, "year": 2021}]}]} \ No newline at end of file