Geometric K-homology with coefficients I

Details Geometric K-homology with coefficients I Geometric K-homology with coefficients I

2011-01-04

arxiv.org/abs/1101.0697v2

Mathematics

K-Theory and Homology

22 pages, 2 figures

Scientific paper

We construct a Baum-Douglas type model for $K$-homology with coefficients in $\mathbb{Z}/k\mathbb{Z}$. The basic geometric object in a cycle is a $spin^c$ $\mathbb{Z}/k\mathbb{Z}$-manifold. The relationship between these cycles and the topological side of the Freed-Melrose index theorem is discussed in detail. Finally, using inductive limits, we construct geometric models for $K$-homology with coefficients in any countable abelian group.

Affiliated with

Also associated with

No associations

Rating

Geometric K-homology with coefficients I 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 Geometric K-homology with coefficients I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric K-homology with coefficients I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-74654