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The volume of the moduli space of flat connections on a nonorientable 2-manifold
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The volume of the moduli space of flat connections on a nonorientable 2-manifold

Nan-Kuo Ho and Lisa C. Jeffrey
Communications in Mathematical Physics, Vol.256(3), pp.539-564
06/2005

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. © Springer-Verlag 2005.

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