Spin-c Prequantization and Symplectic Cutting
Differential Geometry
2007-12-12 v2 Symplectic Geometry
Abstract
We define spin-c prequantization of a symplectic manifold to be a spin-c structure and a connection which are compatible with the symplectic form. We describe the cutting of an S^1-equivariant spin-c prequantization. The cutting process involves a choice of a spin-c prequantization for the complex plane. We prove that the cutting is possible if and only if the moment map level set along which the cutting is done is compatible with this choice.
Keywords
Cite
@article{arxiv.0710.4270,
title = {Spin-c Prequantization and Symplectic Cutting},
author = {Shay Fuchs},
journal= {arXiv preprint arXiv:0710.4270},
year = {2007}
}
Comments
23 pages. A section on prequantizing CP^n was added