• Corpus ID: 218581376

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}
}
  • P. Norbury
  • Published 9 May 2020
  • Mathematics
  • arXiv: Algebraic Geometry
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… 

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