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arXiv · 1503.03150

Dirac operators on quasi-Hamiltonian G-spaces

Yanli Song
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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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Yanli Song. 2015-03-11. Dirac operators on quasi-Hamiltonian G-spaces. https://doi.org/10.1016/j.geomphys.2016.01.012

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