Geometric K-homology with coefficients I

2011/01/04 by Robin J. Deeley, Deeley, Robin J.
Mathematics · #19K33 (Primary) #19K56 #55N20 (Secondary) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.KT #msc:19K33 #msc:19K56 #msc:55N20

paper · pdf · doi:10.48550/arxiv.1101.0697

22 pages, 2 figures

arxiv created 2011/10/19 · arxiv updated 2011/10/20

Abstract

We construct a Baum-Douglas type model for K-homology with coefficients in ℤ/kℤ. The basic geometric object in a cycle is a spin^c ℤ/kℤ-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.

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