• Corpus ID: 233209972

A new spin on Hurwitz theory and ELSV via theta characteristics

@inproceedings{Giacchetto2021ANS,
  title={A new spin on Hurwitz theory and ELSV via theta characteristics},
  author={Alessandro Giacchetto and Reinier Kramer and Danilo Lewa'nski},
  year={2021}
}
We study spin Hurwitz numbers, which count ramified covers of the Riemann sphere with a sign coming from a theta characteristic. These numbers are known to be related to Gromov-Witten theory of Kähler surfaces and to representation theory of the Sergeev group, and are generated by BKP tau-functions. We use the latter interpretation to give polynomiality properties of these numbers and we derive a spectral curve which we conjecture computes spin Hurwitz numbers via a new type of topological… 
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