Equivariant Elliptic Cohomology and Rigidity

Ioanid Rosu

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arXiv · math/9912089

Equivariant Elliptic Cohomology and Rigidity

Ioanid Rosu

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Abstract

Equivariant elliptic cohomology with complex coefficients was defined axiomatically by Ginzburg, Kapranov and Vasserot and constructed by Grojnowski. We give an invariant definition of 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.

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Ioanid Rosu. 2001-10-02. Equivariant Elliptic Cohomology and Rigidity. https://arxiv.org/abs/math/9912089

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