EVENT DETAILS AND ABSTRACT

Title: The Thom Isomorphism in Equivariant Elliptic Cohomology
Speaker: David Gepner
Speaker Info: University of Illinois
Brief Description:
Special Note:
Abstract:

Inspired by work of Grojnowski and Greenlees on Rational Circle- Equivariant Elliptic Cohomology, we give a new construction of an equivariant theory valid for any compact Lie group which agrees with Greenlees' when C is an elliptic curve over the rationals and Grojnowski's in the case of a complex- analytic curve (both of which are only defined in case G=S^1). We then go on to construct a natural Thom isomorphism in elliptic (co)homology for complex vector bundles with certain vanishing conditions on their Borel-equivariant Chern classes. Applications include a short and elegant proof of the Witten rigidity theorem.