Twisted K-homology and group-valued moment maps

E. Meinrenken

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arXiv · 1008.1261

Twisted K-homology and group-valued moment maps

E. Meinrenken

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Abstract

Let G be a compact, simply connected Lie group. We develop a `quantization functor' from pre-quantized quasi-Hamiltonian G-spaces at level k to the fusion ring (Verlinde algebra) R_k(G). The quantization Q(M) is defined as a push-forward in twisted equivariant K-homology. It may be computed by a fixed point formula, similar to the equivariant index theorem for Spin_c-Dirac operators. Using the formula, we calculate Q(M) in several examples.

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BibTeX RIS

E. Meinrenken. 2010-08-06. Twisted K-homology and group-valued moment maps. https://arxiv.org/abs/1008.1261

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