On the Berezin Description of Kahler Quotients

We survey geometric quantization of finite dimensional affine Kahler manifolds. Its corresponding prequantization and the Berezin's deformation quantization formulation, as proposed by Cahen et al., is used to quantize their corresponding Kahler quotients. Equivariant formalism greatly facilita...

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Bibliographic Details
Published in:arXiv.org 2002-02
Main Authors: Carrillo-Ibarra, Iliana, Garcia-Compean, Hugo
Format: Article
Language:English
Online Access:Get full text
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Summary:We survey geometric quantization of finite dimensional affine Kahler manifolds. Its corresponding prequantization and the Berezin's deformation quantization formulation, as proposed by Cahen et al., is used to quantize their corresponding Kahler quotients. Equivariant formalism greatly facilitates the description.
ISSN:2331-8422