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On the Berezin Description of Kahler Quotients

Iliana Carrillo-Ibarra·Hugo Garcia-Compean
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Abstract

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.

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Iliana Carrillo-Ibarra, Hugo Garcia-Compean. 2002-02-07. On the Berezin Description of Kahler Quotients. https://arxiv.org/abs/hep-th/0202015

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