Geometric Khomology and the FreedHopkinsTeleman theorem
Abstract
We describe a map from the equivariant twisted Khomology of a compact, connected, simply connected Lie group $G$ to the Verlinde ring. Our map is described at the level of `Dcycles' for the geometric twisted Khomology of $G$, and is inverse to the FreedHopkinsTeleman isomorphism. As an application, we show that two possible definitions of the `quantization' of a Hamiltonian loop group space are compatible with each other.
 Publication:

arXiv eprints
 Pub Date:
 April 2018
 DOI:
 10.48550/arXiv.1804.05213
 arXiv:
 arXiv:1804.05213
 Bibcode:
 2018arXiv180405213L
 Keywords:

 Mathematics  KTheory and Homology;
 Mathematics  Symplectic Geometry
 EPrint:
 35 pages, small changes and improvements