# On ELSV-type formulae, Hurwitz numbers and topological recursion

## TL;DR

This paper discusses recent advances in ELSV-type formulas and topological recursion, focusing on Chiodo classes and Hurwitz numbers, highlighting new formulas and their mathematical implications.

## Contribution

It introduces new ELSV-type formulas related to Chiodo classes and Hurwitz numbers, connecting them with topological recursion methods.

## Key findings

- Derived new formulas for r-th roots using Chiodo classes
- Established links between Hurwitz numbers and topological recursion
- Published results in Lett. Math. Phys. (2016)

## Abstract

We present several recent developments on ELSV-type formulae and topological recursion concerning Chiodo classes and several kind of Hurwitz numbers. The main results appeared in D. Lewanski, A. Popolitov, S. Shadrin, D. Zvonkine, "Chiodo formulas for the r-th roots and topological recursion", Lett. Math. Phys. (2016).