On the geometric quantization of twisted Poisson manifolds
Differential Geometry
2011-08-25 v1
Abstract
We study the geometric quantization process for twisted Poisson manifolds. First, we introduce the notion of Lichnerowicz-twisted Poisson cohomology for twisted Poisson manifolds and we use it in order to characterize their prequantization bundles and to establish their prequantization condition. Next, we introduce a polarization and we discuss the quantization problem. In each step, several examples are presented.
Keywords
Cite
@article{arxiv.0704.2989,
title = {On the geometric quantization of twisted Poisson manifolds},
author = {Fani Petalidou},
journal= {arXiv preprint arXiv:0704.2989},
year = {2011}
}