Fedosov quantization in algebraic context
Algebraic Geometry
2007-05-23 v4 Symplectic Geometry
Abstract
We consider the problem of quantization of smooth symplectic varieties in the algebro-geometric setting. We show that, under appropriate cohomological assumptions, the Fedosov quantization procedure goes through with minimal changes. The assumptions are satisfied, for example, for affine and for projective varieties. We also give a classification of all possible quantizations.
Keywords
Cite
@article{arxiv.math/0309290,
title = {Fedosov quantization in algebraic context},
author = {R. Bezrukavnikov and D. Kaledin},
journal= {arXiv preprint arXiv:math/0309290},
year = {2007}
}
Comments
46 pages, Latex2e, version 4 and final. Corrected some imprecise statements, added some remarks on canonical quantization