Dirac operators on quasi-Hamiltonian G-spaces
classification
🧮 math.SG
math.DG
keywords
g-spacesquasi-hamiltonianbundlediractwistedconstructdevelopenergy
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.