Spectral multiplicity and odd K-theory-II
K-Theory and Homology
2012-02-08 v2
Abstract
Let {D_x} be a family of unbounded self-adjoint Fredholm operators representing an element of K^1(M). Consider the first two components of the Chern character of the family. It is known that these correspond to the spectral flow of the family and the index gerbe. In this paper we consider descriptions of these classes, both of which are in the spirit of holonomy. These are then studied for families parametrized by a closed 3-manifold. A connection between the multiplicity of the spectrum (and how it varies) and these classes is developed.
Keywords
Cite
@article{arxiv.1201.6678,
title = {Spectral multiplicity and odd K-theory-II},
author = {Ronald G. Douglas and Jerome Kaminker},
journal= {arXiv preprint arXiv:1201.6678},
year = {2012}
}
Comments
References and misprints corrected