The Thom isomorphism in gauge-equivariant K-theory
| dc.creator | Nistor, Victor | |
| dc.creator | Troitsky, Evgenij | |
| dc.date | 2005-06-20 | |
| dc.date.accessioned | 2026-07-07T05:20:52Z | |
| dc.date.available | 2026-07-07T05:20:52Z | |
| dc.description | 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. | |
| dc.description | 29 pages, LaTeX2e, amsart, xy | |
| dc.identifier | https://arxiv.org/abs/math/0506408 | |
| dc.identifier | http://arxiv.org/abs/math/0506408 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75538 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L80 | |
| dc.title | The Thom isomorphism in gauge-equivariant K-theory | |
| dc.type | text |