Equivariant elliptic cohomology and rigidity
Copyright policy )Equivariant elliptic cohomology and rigidity
Equivariant elliptic cohomology with complex coefficients was defined axiomatically by Ginzburg, Kapranov and Vasserot and constructed by Grojnowski. We give an invariant definition of complex S 1 -equivariant elliptic cohomology, and use it to give an entirely cohomological proof of the rigidity theorem of Witten for the elliptic genus. We also state and prove a rigidity theorem for families of elliptic genera.
Equivariant homology and cohomology in algebraic topology, 55N34, Elliptic cohomology, FOS: Mathematics, Elliptic genera, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, 55N34; 55N91, oriented equivariant cohomology, elliptic genus, 55N91
Equivariant homology and cohomology in algebraic topology, 55N34, Elliptic cohomology, FOS: Mathematics, Elliptic genera, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, 55N34; 55N91, oriented equivariant cohomology, elliptic genus, 55N91
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