Quantization of Vector Bundles on Lagrangian Subvarieties

被引：3

作者：

Baranovsky, Vladimir ^{[1
]}

Chen, Taiji ^{[1
]}

机构：

[1] UC Irvine, Dept Math, 340 Rowland Hall, Irvine, CA 92617 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2019年 / 2019卷 / 12期

关键词：

DEFORMATION QUANTIZATION;

D O I：

10.1093/imrn/rnx230

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a smooth Lagrangian subvariety Y in a smooth algebraic variety X with an algebraic symplectic from. For a vector bundle E on Y and a choice O-h of deformation quantization of the structure sheaf O-X, we establish when E admits a deformation quantization to a module over O-h. If the necessary conditions hold, we describe the set of equivalence classes of such quantizations.

引用

页码：3718 / 3739

页数：22

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