AN EXPLICIT DESCRIPTION OF THE SYMPLECTIC STRUCTURE OF MODULI SPACES OF FLAT CONNECTIONS

被引:7
|
作者
KING, C [1 ]
SENGUPTA, A [1 ]
机构
[1] LOUISIANA STATE UNIV,DEPT MATH,BATON ROUGE,LA 70803
关键词
D O I
10.1063/1.530755
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The moduli space of flat connections on a principal G-bundle over a compact oriented surface of genus g greater than or equal to 1 is considered herein. Using the holonomies around noncontractible loops, the moduli space is described as a quotient of a submanifold of G(2g). An explicit expression is obtained for the symplectic form on the smooth part of moduli space, and several properties of this form are established.
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页码:5338 / 5353
页数:16
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