2 papers
math.CO2025
A refined twist on Hurwitz numbers
Raphaël Fesler, Marvin Anas Hahn, Maksim Karev +1
We introduce a two-parameter refinement of the Jucys-Murphy theory, that we call the CJT-refinement, unifying Schur, zonal, and, conjecturally, Jack actions of the ring of symmetri…
math.CO2024
Hurwitz numbers for reflection groups
Raphaël Fesler, Denis Gorodkov, Maksim Karev
We are extending results from \cite{B-Hurwitz} by building a parallel theory of simple Hurwitz numbers for the reflection groups . We also study analogs of the cut-and-jo…