Equivariant Elliptic Cohomology and Rigidity

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dc.creatorRosu, Ioanid
dc.date1999-12-10
dc.date2001-10-02
dc.date.accessioned2026-07-07T05:32:14Z
dc.date.available2026-07-07T05:32:14Z
dc.descriptionEquivariant 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.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/9912089
dc.identifierhttp://arxiv.org/abs/math/9912089
dc.identifierAmerican Journal of Mathematics 123 (2001), 647-677
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79586
dc.subjectAlgebraic Topology
dc.subject55N34; 55N91
dc.titleEquivariant Elliptic Cohomology and Rigidity
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