Twisted K-theory and loop group representations
Algebraic Topology
2007-05-23 v3 High Energy Physics - Theory
K-Theory and Homology
Representation Theory
Abstract
This is the third paper of a series relating the equivariant twisted -theory of a compact Lie group to the ``Verlinde space'' of isomorphism classes of projective lowest-weight representations of the loop groups. Here, we treat arbitrary compact Lie groups. In addition, we discuss the relation to semi-infinite cohomology, the fusion product of Conformal Field theory, the r\^ole of energy and the topological Peter-Weyl theorem.
Cite
@article{arxiv.math/0312155,
title = {Twisted K-theory and loop group representations},
author = {Daniel S. Freed and Michael J. Hopkins and Constantin Teleman},
journal= {arXiv preprint arXiv:math/0312155},
year = {2007}
}
Comments
The final SELF-CONTAINED version is v.2. The current version had some material removed to the prequels [FHT1,2]. Minor notational changes