Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric K-homology with coefficients I   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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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex