On the geometric quantization of twisted Poisson manifolds

被引：8
|
作者：
Petalidou, Fani [1 ]
机构：
[1] Univ Peloponnese, Fac Sci & Technol, Tripoli 22100, Greece
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2007年 / 48卷 / 08期
关键词：
D O I：
10.1063/1.2759833
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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收藏
页数：17
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