The Moduli Space of Flat Connections on Oriented Surfaces with Boundary |
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| Authors: | Ambar N Sengupta |
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| Institution: | Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana, 70803-4918, f1E-mail: sengupta@math.lsu.eduf1 |
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| Abstract: | A 2-form is constructed on the space of connections on a principal bundle over an oriented surface with boundary. This induces a symplectic structure for the moduli space of flat connections with boundary holonomies lying in prescribed conjugacy classes. The Yang-Mills quantum field measure is described for this situation. This measure converges to the normalized symplectic volume measure in the “classical” limit. |
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