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An explicit description of the symplectic structure of moduli spaces of flat connections

Authors :
Ambar N. Sengupta
Christopher King
Source :
Journal of Mathematical Physics. 35:5338-5353
Publication Year :
1994
Publisher :
AIP Publishing, 1994.

Abstract

The moduli space of flat connections on a principal G‐bundle over a compact oriented surface of genus g≥1 is considered herein. Using the holonomies around noncontractible loops, the moduli space is described as a quotient of a submanifold of G2g. An explicit expression is obtained for the symplectic form on the smooth part of moduli space, and several properties of this form are established.

Details

ISSN :
10897658 and 00222488
Volume :
35
Database :
OpenAIRE
Journal :
Journal of Mathematical Physics
Accession number :
edsair.doi...........8578a2962d53ffd76990b271e6cd3997
Full Text :
https://doi.org/10.1063/1.530755