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An explicit description of the symplectic structure of moduli spaces of flat connections
- 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.
- Subjects :
- Modular equation
Mathematical analysis
Statistical and Nonlinear Physics
Symplectic representation
Moduli space
Moduli of algebraic curves
Symplectic vector space
Mathematics::Algebraic Geometry
Geometric invariant theory
Mathematics::Symplectic Geometry
Moment map
Mathematical Physics
Symplectic manifold
Mathematics
Subjects
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