Maximality conjecture for the moduli orbifold

For g3g\geq 3, let \Mg\M_g be the smooth moduli orbifold of genus-gg Riemann surfaces. Maximality conjecture for \Mg\M_g. The orbifold \Mg\M_g does not finitely orbifold-cover any other smooth orbifold. This would rule out proper finite orbifold quotients arising from larger discrete isometry groups; the source gives no resolution.

Sources & referencesView supporting material

Primary source

Benson Farb, “Some problems on mapping class groups and moduli space”, arXiv:math/0606432 (2006).

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