FEDOSOV QUANTIZATION IN ALGEBRAIC CONTEXT

被引：80

作者：

Bezrukavnikov, R. ^{[1
]}

Kaledin, D. ^{[2
]}

机构：

[1] Northwestern Univ, Evanston, IL 60208 USA

[2] VA Steklov Math Inst, Moscow 117333, Ussr, Russia

来源：

MOSCOW MATHEMATICAL JOURNAL | 2004年 / 4卷 / 03期

关键词：

Formal geometry; quantization;

D O I：

10.17323/1609-4514-2004-4-3-559-592

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：559 / 592

页数：34

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