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

2012/06/25 by Deeley, Robin J.
#FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1206.5662

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.

Related

• Geometric K-homology with coefficients I
• Geometric K-homology with coefficients II
• Analytic and topological index maps with values in the K-theory of\n mapping cones
• A geometric approach to K-homology for Lie manifolds
• Relative index theorem in K-homology