Enumerative geometry via the moduli space of super Riemann surfaces
@article{Norbury2020EnumerativeGV, title={Enumerative geometry via the moduli space of super Riemann surfaces}, author={Paul T. Norbury}, journal={arXiv: Algebraic Geometry}, year={2020} }
In this paper we relate volumes of moduli spaces of super Riemann surfaces to integrals over the moduli space of stable Riemann surfaces $\overline{\cal M}_{g,n}$. 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 $\Theta_{g,n}\in H^*(\overline{\cal M}_{g,n})$. We give a new proof that a generating function for the intersection numbers of $\Theta_{g,n}$ with tautological…
16 Citations
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