Measures on the moduli space of curves and super volumes.

  • Paul Norbury (University of Melbourne, Australia)
E2 10 (Leon-Lichtenstein)


In this lecture I will define a family of finite measures on the moduli space of genus g curves. The measures are defined via a construction analogous to that of the Weil-Petersson metric, using the

extra data of a spin structure. In fact, the measures arise naturally out of the super Weil-Petersson metric defined over the moduli space of super curves. The total measure gives the volume of the moduli space of super curves and can be calculated in many examples.

Katharina Matschke

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