Dirac operators on quasi-Hamiltonian G-spaces
Symplectic Geometry
2016-06-29 v2 Differential Geometry
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 -spaces to quasi-Hamiltonian G-spaces.
Keywords
Cite
@article{arxiv.1503.03150,
title = {Dirac operators on quasi-Hamiltonian G-spaces},
author = {Yanli Song},
journal= {arXiv preprint arXiv:1503.03150},
year = {2016}
}
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