Special cases of the orbifold version of Zvonkine's r-ELSV formula

Borot, Gaëtan; Kramer, Reinier; Lewanski, Danilo; Popolitov, Alexandr; Shadrin, Sergey

doi:10.1307/mmj/1592877614

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Journal Article

Special cases of the orbifold version of Zvonkine's r-ELSV formula

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Borot, Gaëtan
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1307/mmj/1592877614
(Publisher version)

https://doi.org/10.48550/arXiv.1705.10811
(Preprint)

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MPIM Preprint series 2017-36.pdf
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Citation

Borot, G., Kramer, R., Lewanski, D., Popolitov, A., & Shadrin, S. (2021). Special cases of the orbifold version of Zvonkine's r-ELSV formula. Michigan Mathematical Journal, 70(2), 369-402. doi:10.1307/mmj/1592877614.

Cite as: https://hdl.handle.net/21.11116/0000-0007-0C2F-9

Abstract

We prove the orbifold version of Zvonkine's $r$-ELSV formula in two special
cases: the case of $r=2$ (complete $3$-cycles) for any genus $g\geq 0$ and the
case of any $r\geq 1$ for genus $g=0$.