Geometry/Physics Seminar

Title: On the volume of the moduli space of flat connections on a non-orientable 2-manifold
Speaker: Professor Nan-Kuo Ho
Speaker Info: The Fields Institute (Canada) and National Cheng-Kung University (Taiwan)
Brief Description:
Special Note:

In "On quantum gauge theories in two dimensions" Witten defined and computed a volume on the moduli space of gauge equivalence classes of flat connections on a 2-manifold, using Reidemeister torsion. Witten proved that this volume is equal to the symplectic volume on the moduli space. However, when the 2-manifold is not orientable, the moduli space does not have a symplectic form, so the interpretation of this volume has been unclear. We computed the Riemannian volume of the moduli space of flat connections on a nonorientable 2-manifold, for a natural class of metrics, and compared our volume formula with Witten's volume formula.

This is a joint work with Lisa Jeffrey.

Date: Thursday, November 03, 2005
Time: 2:30pm
Where: Lunt 107
Contact Person: Prof. Chiu-Chu Melissa Liu
Contact email: ccliu@math.northwestern.edu
Contact Phone: 847-467-1874
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