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- W3152596543 abstract "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 Kahler 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 recursion. We prove that this conjectural topological recursion is equivalent to an ELSV-type formula, expressing spin Hurwitz numbers in terms of the Chiodo class twisted by the $2$-spin Witten class." @default.
- W3152596543 created "2021-04-26" @default.
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- W3152596543 date "2021-04-12" @default.
- W3152596543 modified "2023-09-27" @default.
- W3152596543 title "A new spin on Hurwitz theory and ELSV via theta characteristics" @default.
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