Quantization of Presymplectic Manifolds and Circle Actions
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
We prove several versions of "quantization commutes with reduction" for circle actions on manifolds that are not symplectic. Instead, these manifolds possess a weaker structure, such as a spin^c structure. Our theorems work whenever the quantization data and the reduction data are compatible; this condition always holds if we start from a presymplectic (in particular, symplectic) manifold.
Keywords
Cite
@article{arxiv.dg-ga/9705008,
title = {Quantization of Presymplectic Manifolds and Circle Actions},
author = {Ana Canas da Silva and Yael Karshon and Susan Tolman},
journal= {arXiv preprint arXiv:dg-ga/9705008},
year = {2008}
}
Comments
LaTeX 2e, 28 pages