A new approach to twisted K-theory of compact Lie groups
K-Theory and Homology
2020-03-11 v2 High Energy Physics - Theory
Algebraic Topology
Abstract
This paper explores further the computation of the twisted K-theory and K-homology of compact simple Lie groups, previously studied by Hopkins, Moore, Maldacena-Moore-Seiberg, Braun, and Douglas, with a focus on groups of rank 2. We give a new method of computation based on the Segal spectral sequence which seems to us appreciably simpler than the methods used previously, at least in many key cases. The exposition has been clarified and one mistake in the previous version has been fixed. Also the references have been updated.
Cite
@article{arxiv.1708.05541,
title = {A new approach to twisted K-theory of compact Lie groups},
author = {Jonathan Rosenberg},
journal= {arXiv preprint arXiv:1708.05541},
year = {2020}
}
Comments
32 pages with 8 figures