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arXiv · 1101.0697

Geometric K-homology with coefficients I

Robin J. Deeley
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Abstract

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.

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Robin J. Deeley. 2011-10-19. Geometric K-homology with coefficients I. https://arxiv.org/abs/1101.0697

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