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

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 $g\ge 0$ and the case of any $r\ge 1$ for genus $g=0$.

20 pages

References in corpus (7)

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Cited by in corpus (4)

• Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type
• Double Hurwitz numbers: polynomiality, topological recursion and intersection theory
• Elements of spin Hurwitz theory: closed algebraic formulas, blobbed topological recursion, and a proof of the Giacchetto-Kramer-Lewanski conjecture
• Genus expansion of matrix models and $\hslash$ expansion of $B$KP hierarchy