Abstract
For compact surfaces with one boundary component, and semisimple gauge groups, we construct a closed gauge invariant 2-form on the space of flat connections whose boundary holonomy lies in a fixed conjugacy class. This form descends to the moduli space under the action of the full gauge group, and provides an explicit description of a symplectic structure for this moduli space.
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Communicated by R.H. Dijkgraat
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King, C., Sengupta, A. A symplectic structure for connections on surfaces with boundary. Commun.Math. Phys. 175, 657–671 (1996). https://doi.org/10.1007/BF02099512
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DOI: https://doi.org/10.1007/BF02099512