A Geometric Model for Odd Differential K-theory
K-Theory and Homology
2015-03-17 v3 Algebraic Topology
Differential Geometry
Abstract
Odd -theory has the interesting property that it admits an infinite number of inequivalent differential refinements. In this paper we provide a bundle theoretic model for odd differential -theory using the caloron correspondence and prove that this refinement is unique up to a unique natural isomorphism. We characterise the odd Chern character and its transgression form in terms of a connection and Higgs field and discuss some applications. Our model can be seen as the odd counterpart to the Simons-Sullivan construction of even differential -theory. We use this model to prove a conjecture of Tradler-Wilson-Zeinalian regarding a related differential extension of odd -theory
Cite
@article{arxiv.1309.2834,
title = {A Geometric Model for Odd Differential K-theory},
author = {Pedram Hekmati and Michael K. Murray and Vincent S. Schlegel and Raymond F. Vozzo},
journal= {arXiv preprint arXiv:1309.2834},
year = {2015}
}
Comments
36 pages