# Circle actions and geometric quantization

The aim of this paper is to present unifying proofs for results in geometric quantisation by exploring the existence of symplectic circle actions. It provides an extension of Rawnsley's results on the Kostant complex, and gives another proof for \'{S}niatycki's and Hamilton's theorems; as well, a partial result for the focus-focus contribution to geometric quantisation.

Article:

Circle actions and geometric quantization

Journal:

ArXiv preprint

Year:

2013

URL:

http://arxiv.org/abs/1301.1220