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Enumerative geometry via the moduli space of super Riemann surfaces
[article]
2020
arXiv
pre-print
In this paper we relate volumes of moduli spaces of super Riemann surfaces to integrals over the moduli space of stable Riemann surfaces M_g,n. This allows us to use a recursion between the super volumes recently proven by Stanford and Witten to deduce recursion relations of a natural collection of cohomology classes Θ_g,n∈ H^*( M_g,n). We give a new proof that a generating function for the intersection numbers of Θ_g,n with tautological classes on M_g,n is a KdV tau function. This is an
arXiv:2005.04378v1
fatcat:5ve7sc5ubvfdxignocqakjapoq