English

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

K-Theory and Homology 2014-02-21 v3

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.

Keywords

Cite

@article{arxiv.1206.5662,
  title  = {R/Z-valued index theory via geometric K-homology},
  author = {Robin J. Deeley},
  journal= {arXiv preprint arXiv:1206.5662},
  year   = {2014}
}

Comments

29 pages