Twisted Deformation Quantization of Algebraic Varieties (Survey)

Details Twisted Deformation Quantization of Algebraic Varieties (Survey) Twisted Deformation Quantization of Algebraic Varieties (Survey)

2008-01-21

arxiv.org/abs/0801.3233v4

Mathematics

Algebraic Geometry

Lecture notes made into a survey article. 19 pages. To appear in Cont. Math. (Goodearl Conference Proceedings)

Scientific paper

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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