BV-generators and Lie algebroids

被引：2
|
作者：
Michéa, S [1 ]
Novitchkov, G [1 ]
机构：
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2005年 / 16卷 / 10期
关键词：
BV-algebra; Gerstenhaber algebra; Lie algebroid; connection; hodge operator;
D O I：
10.1142/S0129167X05003247
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A = circle plus(i)A(i) be a Gerstenhaber algebra generated by A(0) and A(1). Given a degree -1 operator D on A(0) circle plus A(1), we find the condition on D that makes A a BV-algebra. Subsequently, we apply it to the Gerstenhaber or BV algebra associated to a Lie algebroid and obtain a global proof of the correspondence between BV-generators and flat connections.
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页码：1175 / 1191
页数：17
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