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• W2030902080 abstract "Let M be a non-orientable surface with Euler characteristic χ(M) ≤ −2. We consider the moduli space of flat SU(2)-connections, or equivalently the space of conjugacy classes of representations $$mathfrak{X} (M) = {rm Hom} (pi_1 (M), {rm SU} (2)) / {rm SU} (2).$$ There is a natural action of the mapping class group of M on $${mathfrak{X} (M)}$$ . We show here that this action is ergodic with respect to a natural measure. This measure is defined using the push-forward measure associated to a map defined by the presentation of the surface group. This result is an extension of earlier results of Goldman for orientable surfaces (see [8])." @default.
• W2030902080 created "2016-06-24" @default.
• W2030902080 creator A5001264392 @default.
• W2030902080 date "2010-07-31" @default.
• W2030902080 modified "2023-10-18" @default.
• W2030902080 title "Ergodic actions of mapping class groups on moduli spaces of representations of non-orientable surfaces" @default.
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• W2030902080 doi "https://doi.org/10.1007/s10711-010-9522-7" @default.
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