On the Twisted K-Homology of Simple Lie Groups
Algebraic Topology
2008-03-19 v4 K-Theory and Homology
Abstract
We prove that the twisted K-homology of a simply connected simple Lie group G of rank n is an exterior algebra on n-1 generators tensor a cyclic group. We give a detailed description of the order of this cyclic group in terms of the dimensions of irreducible representations of G and show that the congruences determining this cyclic order lift along the twisted index map to relations in the twisted Spin-c bordism group of G.
Keywords
Cite
@article{arxiv.math/0402082,
title = {On the Twisted K-Homology of Simple Lie Groups},
author = {Christopher L. Douglas},
journal= {arXiv preprint arXiv:math/0402082},
year = {2008}
}
Comments
38 pages, 2 figures. Added table of contents, remarks in sections 1.2 and 4.1.2