0000000000019616

AUTHOR

Louis-hadrien Robert

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A closed formula for the evaluation of foams

2020

International audience; We give a purely combinatorial formula for evaluating closed, decorated foams. Our evaluation gives an integral polynomial and is directly connected to an integral, equivariant version of colored Khovanov-Rozansky link homology categorifying the sl(N) link polynomial. We also provide connections to the equivariant cohomology rings of partial flag varieties.

Pure mathematicscoherent sheaveskhovanov-rozansky homology01 natural sciencesMathematics::Algebraic Topologylink homologiesMathematics::K-Theory and HomologyMathematics::Quantum Algebra[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]0103 physical sciences[MATH]Mathematics [math]010306 general physicsMathematics::Symplectic GeometryMathematical PhysicsMathematicswebsmodel010308 nuclear & particles physicsmodulesmatrix factorizationscategoriesFoamsMathematics::Geometric TopologyTQFTknot floer homologyholomorphic disksGeometry and Topologyinvariantstangle
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