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Real algebraic curves and twisted Hurwitz numbers

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arxiv 2403.06171 v1 pith:2II3V243 submitted 2024-03-10 math.AG math.CO

Yurii Burman , Raphaël Fesler This is my paper · ORCID
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keywords numbersrealcitehurwitztwistedalgebraicchapuydolegacorrespondence
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abstract

We provide a direct correspondence between the $b$-Hurwitz numbers with $b=1$ from \cite{ChapuyDolega}, and twisted Hurwtiz numbers from \cite{TwistedHurwitz}. This provides a description of real coverings of the sphere with ramification on the real line in terms of monodromy.

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  1. A refined twist on Hurwitz numbers

    math.CO 2025-08 conditional novelty 8.0 of 10

    A two-parameter CJT refinement of Jucys-Murphy theory interpolates Schur and zonal actions, yields cut-and-join recursions and tropicalizations of b-Hurwitz numbers, and proves piecewise polynomiality of (1+b) times t...

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