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Geometric K-homology with coefficients I: ℤ/kℤ-cycles and Bockstein sequence

Published online by Cambridge University Press:  04 November 2011

Robin J. Deeley
Robin J. Deeley
Affiliation:
Mathematisches Institut, Georg-August Universität, Bunsenstrasse 3-5, 37073 Göttingen, Germanyrjdeeley@uni-math.gwdg.de
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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 spinc 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.

Keywords

K-homologygeometric cyclesℤ/kℤ-manifoldsindex theory
Type
Research Article
Information
Journal of K-Theory , Volume 9 , Issue 3 , June 2012 , pp. 537 - 564
Copyright
Copyright © ISOPP 2011

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