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• W2124054639 abstract "We define prequantization for Dirac manifolds to generalize known procedures for Poisson and (pre) symplectic manifolds by using characteristic distributions obtained from 2-cocycles associated to Dirac structures. Given a Dirac manifold $(M,D)$, we construct Poisson structure on the space of admissible functions on $(M,D)$ and a representation of the Poisson algebra to establish the prequantization condition of $(M,D)$ in terms of a Lie algebroid cohomology. Additional to this, we introduce a polarization for a Dirac manifold $M$ and discuss procedures for quantization in two cases where $M$ is compact and where $M$ is not compact." @default.
• W2124054639 created "2016-06-24" @default.
• W2124054639 creator A5005799546 @default.
• W2124054639 date "2013-11-06" @default.
• W2124054639 modified "2023-10-16" @default.
• W2124054639 title "Geometric quantization of Dirac manifolds" @default.
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• W2124054639 doi "https://doi.org/10.48550/arxiv.1311.1360" @default.
• W2124054639 hasPublicationYear "2013" @default.
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