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arXiv · 1206.5662

R/Z-valued index theory via geometric K-homology

Robin J. Deeley
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Abstract

A model of K-homology with coefficients in a mapping cone using the framework of the geometric cycles of Baum and Douglas is developed. In particular, this leads to a geometric realization of K-homology with coefficients in R/Z. In turn, this group is related to the relative eta-invariant via index pairings.

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Robin J. Deeley. 2014-02-20. R/Z-valued index theory via geometric K-homology. https://arxiv.org/abs/1206.5662

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