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…
6 Citations
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