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

Published 25 Jun 2012 in math.KT | (1206.5662v3)

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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Authors (1)

Robin J. Deeley

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