Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture

TL;DR

This paper proves that monotone orbifold Hurwitz numbers conform to the Chekhov-Eynard-Orantin topological recursion, confirming a conjecture by Do and Karev.

Contribution

It provides a proof of the Do-Karev conjecture linking monotone orbifold Hurwitz numbers to topological recursion.

Findings

Monotone orbifold Hurwitz numbers satisfy topological recursion.

Confirmation of the Do-Karev conjecture.

Advances understanding of Hurwitz number structures.

Abstract

We prove the conjecture of Do and Karev that the monotone orbifold Hurwitz numbers satisfy the Chekhov-Eynard-Orantin topological recursion.