%0 Journal Article
%T Equivariant Elliptic Cohomology and Rigidity
%A Ioanid Rosu
%J Mathematics
%D 1999
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/9912089v2