The Real Freed-hopkins-teleman Theorem
Year: 2015
Type: preprint
Abstract: Let G be a compact, connected, and simply-connected Lie group viewed as a G-space via the conjugation action. The Freed-Hopkins-Teleman Theorem (FHT) as- serts a canonical link between the equivariant twisted K-homology of G and its Verlinde algebra. In this paper we give a generalization of FHT in the presence of a Real structure of G. Along the way we develop preliminary materials necessary for this generalization, which are of independent interest in their own right. These include the definitions of Real Dixmier-Douady bundles, the Real third cohomology group which is shown to classify the former, and Real Spin c structures.
Source: arXiv (Cornell University)
Author: Chi-Kwong Fok
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2245233210