Mathematics – K-Theory and Homology
Scientific paper
2005-06-20
Mathematics
K-Theory and Homology
29 pages, LaTeX2e, amsart, xy
Scientific paper
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.
Nistor Victor
Troitsky Evgenij
No associations
LandOfFree
The Thom isomorphism in gauge-equivariant K-theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Thom isomorphism in gauge-equivariant K-theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Thom isomorphism in gauge-equivariant K-theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-104253