Quantization of q-Hamiltonian SU(2)-spaces

Details Quantization of q-Hamiltonian SU(2)-spaces Quantization of q-Hamiltonian SU(2)-spaces

2008-12-08

arxiv.org/abs/0812.1366v1

Mathematics

Differential Geometry

Scientific paper

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.

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