HAMILTONIAN REDUCTION AND MAURER-CARTAN EQUATIONS

被引：4
|
作者：
Gan, Wee Liang [1 ]
Ginzburg, Victor [2 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA
来源：
MOSCOW MATHEMATICAL JOURNAL | 2004年 / 4卷 / 03期
关键词：
Maurer-Cartan equations; Hamiltonian reduction; L-infinity-algebras;
D O I：
10.17323/1609-4514-2004-4-3-719-727
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that solving the Maurer-Cartan equations is, essentially, the same thing as performing the Hamiltonian reduction construction. In particular, any differential graded Lie algebra equipped with an even nondegenerate invariant bilinear form gives rise to modular stacks with symplectic structures.
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页码：719 / 727
页数：9
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