The Witten genus and equivariant elliptic cohomology
Algebraic Topology
2007-05-23 v3
Abstract
We construct a Thom class in complex equivariant elliptic cohomology extending the equivariant Witten genus. This gives a new proof of the rigidity of the Witten genus, which exhibits a close relationship to recent work on non-equivariant orientations of elliptic spectra.
Cite
@article{arxiv.math/0008192,
title = {The Witten genus and equivariant elliptic cohomology},
author = {Matthew Ando and Maria Basterra},
journal= {arXiv preprint arXiv:math/0008192},
year = {2007}
}
Comments
22 pages. Added section on example of virtual bundles over a point