On the connectedness of the branch locus of the moduli space of Riemann surfaces
نویسندگان
چکیده
The moduli space Mg of compact Riemann surfaces of genus g has structure of orbifold and the set of singular points for such orbifold is the branch locus Bg. In this article we present some results related with the topology of Bg, the connectedness of Bg for g ≤ 8, the existence of isolated equisymmetric strata of a given dimension in Bg and finally the connectedness of the branch locus of the moduli space of Riemann surfaces considered as Klein surfaces.
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