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

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

2003-07-31

arxiv.org/abs/math/0307404v5

Mathematics

Symplectic Geometry

31 pages, LaTeX, manuscript substantially revised. To appear in Communications in Mathematical Physics

Scientific paper

We compute the Riemannian volume on 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 an orientable surface using Haar measure.

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