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The Moduli Space of Flat Connections on Oriented Surfaces with Boundary

✍ Scribed by Ambar N. Sengupta

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
333 KB
Volume
190
Category
Article
ISSN
0022-1236

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✦ Synopsis

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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