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The Correspondence between Geometric Quantization and Formal Deformation Quantization

Eli Hawkins
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Abstract

Using the classification of formal deformation quantizations, and the formal, algebraic index theorem, I give a simple proof as to which formal deformation quantization (modulo isomorphism) is derived from a given geometric quantization.

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Eli Hawkins. 1998-11-08. The Correspondence between Geometric Quantization and Formal Deformation Quantization. https://arxiv.org/abs/math/9811049

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