Twisted Deformation Quantization of Algebraic Varieties (Survey)
Algebraic Geometry
2011-07-28 v4 Quantum Algebra
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.
Cite
@article{arxiv.0801.3233,
title = {Twisted Deformation Quantization of Algebraic Varieties (Survey)},
author = {Amnon Yekutieli},
journal= {arXiv preprint arXiv:0801.3233},
year = {2011}
}
Comments
Lecture notes made into a survey article. 19 pages. To appear in Cont. Math. (Goodearl Conference Proceedings)