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

Published 30 May 2017 in math.AG, math-ph, math.CO, and math.MP | (1705.10811v1)

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 $g=0$.

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