The Thom isomorphism in gauge-equivariant K-theory
K-Theory and Homology
2007-05-23 v1 Operator Algebras
Abstract
In a previous paper we have introduced the gauge-equivariant K-theory group of a bundle endowed with a continuous action of a bundle of compact Lie groups. These groups are the natural range for the analytic index of a family of gauge-invariant elliptic operators (i.e. a family of elliptic operators invariant with respect to the action of a bundle of compact groups). In this paper, we continue our study of gauge-equivariant K-theory. In particular, we introduce and study products, which helps us establish the Thom isomorphism in gauge-equivariant K-theory. Then we construct push-forward maps and define the topological index of a gauge-invariant family.
Cite
@article{arxiv.math/0506408,
title = {The Thom isomorphism in gauge-equivariant K-theory},
author = {Victor Nistor and Evgenij Troitsky},
journal= {arXiv preprint arXiv:math/0506408},
year = {2007}
}
Comments
29 pages, LaTeX2e, amsart, xy