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

Lisa Jeffrey·Nan-Kuo Ho
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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.

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Lisa Jeffrey, Nan-Kuo Ho. 2003-07-31. The volume of the moduli space of flat connections on a nonorientable 2-manifold. https://doi.org/10.1007/s00220-005-1344-3

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