An index theorem in differential K-theory
Differential Geometry
2014-11-11 v2 High Energy Physics - Theory
Algebraic Topology
K-Theory and Homology
Abstract
Let X --> B be a proper submersion with a Riemannian structure. Given a differential K-theory class on X, we define its analytic and topological indices as differential K-theory classes on B. We prove that the two indices are the same.
Cite
@article{arxiv.0907.3508,
title = {An index theorem in differential K-theory},
author = {Daniel S. Freed and John Lott},
journal= {arXiv preprint arXiv:0907.3508},
year = {2014}
}
Comments
65 pages; version 2 has small changes for publication