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Twisted K-homology and group-valued moment maps | E. Meinrenken
; | Date: |
6 Aug 2010 | 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. | Source: | arXiv, 1008.1261 | Services: | Forum | Review | PDF | Favorites |
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