Poisson vector bundles, contravariant connections and deformations

被引：0
|
作者：
Bursztyn, H [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT | 2001年 / 144期
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D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this note we discuss the semiclassical geometry associated to deformation quantization of vector bundles over Poisson manifolds. We compare the objects obtained as "first-order approximations" to deformed vector bundles with the existent notion of Poisson vector bundles, showing that they agree up to a certain flatness condition. We show how these ideas can be used in the study of Morita equivalence of star products on Poisson manifolds.
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收藏
页码：26 / 37
页数：12
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