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arXiv · 0801.3233

Twisted Deformation Quantization of Algebraic Varieties (Survey)

Amnon Yekutieli
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Abstract

Let X be a smooth algebraic variety over a field of characteristic 0. We introduce the notion of twisted associative (resp. Poisson) deformation of the structure sheaf O_X. These are stack-like versions of usual deformations. We prove that there is a twisted quantization map from twisted Poisson deformations to twisted associative deformations, which is canonical and bijective on equivalence classes.

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Amnon Yekutieli. 2011-07-27. Twisted Deformation Quantization of Algebraic Varieties (Survey). https://arxiv.org/abs/0801.3233

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