Dirac operators on quasi-Hamiltonian G-spaces (1503.03150v2)

Published 11 Mar 2015 in math.SG and math.DG

Abstract: We develop notions of twisted spinor bundle and twisted pre-quantum bundle on quasi-Hamiltonian G-spaces. The main result of this paper is that we construct a Dirac operator with index given by positive energy representation of loop group. This generalizes the quantization of Hamiltonian $G$-spaces to quasi-Hamiltonian G-spaces.

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Authors (1)

Yanli Song

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