We prove the orbifold version of Zvonkine’s r-ELSV formula in two special cases: the case of (completed 3-cycles) for any genus and the case of any for genus .
"Special Cases of the Orbifold Version of Zvonkine’s r-ELSV Formula." Michigan Math. J. 70 (2) 369 - 402, May 2021. https://doi.org/10.1307/mmj/1592877614