The relative Mishchenko--Fomenko higher index and almost flat bundles II: Almost flat index pairing
K-Theory and Homology
2019-08-29 v1
Abstract
This is the second part of a series of papers which bridges the Chang--Weinberger--Yu relative higher index and geometry of almost flat hermitian vector bundles on manifolds with boundary. In this paper we apply the description of the relative higher index given in Part I to provide the relative version of the Hanke--Schick theorem, which relates the relative higher index with index pairing of a K-homology cycle with almost flat relative vector bundles. We also deal with the quantitative version and the dual problem of this theorem.
Keywords
Cite
@article{arxiv.1908.10733,
title = {The relative Mishchenko--Fomenko higher index and almost flat bundles II: Almost flat index pairing},
author = {Yosuke Kubota},
journal= {arXiv preprint arXiv:1908.10733},
year = {2019}
}
Comments
41 pages, separated from Section 6, 7, 8 of arXiv:1807.03181, corrected minor errors, Section 5.2 is revised