4 papers
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…
Origami: real structure, enumeration and quantum modularity
Raphaël Fesler, Peter Zograf
We define real origami (that is, origami equipped with a real structure) and enumerate them using the combinatorics of zonal polynomials. We explicitly express in terms of sums of…
Real algebraic curves and twisted Hurwitz numbers
Yurii Burman, Raphaël Fesler
We provide a direct correspondence between the -Hurwitz numbers with from \cite{ChapuyDolega}, and twisted Hurwtiz numbers from \cite{TwistedHurwitz}. This provides a desc…
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…