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math.CO2020★ 10 cited
Coxeter factorizations with generalized Jucys-Murphy weights and Matrix Tree theorems for reflection groups
Guillaume Chapuy, Theo Douvropoulos
We prove universal (case-free) formulas for the weighted enumeration of factorizations of Coxeter elements into products of reflections valid in any well-generated reflection group…
math.CO2020★ 16 cited
Non-orientable branched coverings, -Hurwitz numbers, and positivity for multiparametric Jack expansions
Guillaume Chapuy, Maciej Dołęga
We introduce a one-parameter deformation of the 2-Toda tau-function of (weighted) Hurwitz numbers, obtained by deforming Schur functions into Jack symmetric functions. We show that…