On the geometric quantization of twisted Poisson manifolds
classification
🧮 math.DG
keywords
poissonmanifoldsquantizationtwistedgeometricintroduceprequantizationbundles
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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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