Equivariant Elliptic Cohomology and Rigidity
Algebraic Topology
2007-05-23 v2
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.
Cite
@article{arxiv.math/9912089,
title = {Equivariant Elliptic Cohomology and Rigidity},
author = {Ioanid Rosu},
journal= {arXiv preprint arXiv:math/9912089},
year = {2007}
}
Comments
23 pages