On the geometric quantization of twisted Poisson manifolds

Details On the geometric quantization of twisted Poisson manifolds On the geometric quantization of twisted Poisson manifolds

2007-04-23

arxiv.org/abs/0704.2989v1

J.Math.Phys.48:083502,2007

Mathematics

Differential Geometry

Scientific paper

10.1063/1.2759833

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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