Talk
Measures on the moduli space of curves and super volumes.
- Paul Norbury (University of Melbourne, Australia)
Abstract
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.
