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Communications in Mathematical Physics

, Volume 256, Issue 3, pp 539–564 | Cite as

The Volume of the Moduli Space of Flat Connections on a Nonorientable 2-Manifold

  • Nan-Kuo HoEmail author
  • Lisa C. Jeffrey
Article

Abstract

We compute the Riemannian volume of the moduli space of flat connections on a nonorientable 2-manifold, for a natural class of metrics. We also show that Witten’s volume formula for these moduli spaces may be derived using Haar measure, and we give a new proof of Witten’s volume formula for the moduli space of flat connections on a 2-manifold using Haar measure.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Modulus Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Department of MathematicsNational Cheng-Kung UniversityTaiwan, R.O.C
  2. 2.Department of MathematicsUniversity of TorontoTorontoCanada

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