Quantization of q-Hamiltonian SU(2)-spaces
Differential Geometry
2013-12-05 v1
Abstract
We explain how to define the quantization of q-Hamiltonian SU(2)-spaces as push-forwards in twisted K-homology, and prove a `quantization commutes with reduction' theorem for this setting. As applications, we show how the Verlinde formulas for flat SU(2) or SO(3) bundles are obtained by localization in twisted K-homology.
Keywords
Cite
@article{arxiv.0812.1366,
title = {Quantization of q-Hamiltonian SU(2)-spaces},
author = {E. Meinrenken},
journal= {arXiv preprint arXiv:0812.1366},
year = {2013}
}