Geometric K-homology and the Freed–Hopkins–Teleman theorem

  • Yiannis Loizides

    Cornell University, Ithaca, USA
Geometric K-homology and the Freed–Hopkins–Teleman theorem cover
Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

We construct a map at the level of cycles from the equivariant twisted K-homology of a compact, connected, simply connected Lie group to the Verlinde ring, which is inverse to the Freed–Hopkins–Teleman isomorphism. As an application, we prove that two of the proposed definitions of the quantization of a Hamiltonian loop group space—one via twisted K-homology of and the other via index theory on non-compact manifolds—agree with each other

Cite this article

Yiannis Loizides, Geometric K-homology and the Freed–Hopkins–Teleman theorem. J. Noncommut. Geom. 16 (2022), no. 1, pp. 77–118

DOI 10.4171/JNCG/447