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.

引用

页数：17

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