The volume of the moduli space of flat connections on a nonorientable 2-manifold
arXiv:math/0307404 · doi:10.1007/s00220-005-1344-3
Abstract
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.
arXiv comment31 pages, LaTeX, manuscript substantially revised. To appear in Communications in Mathematical Physics