Real algebraic curves and twisted Hurwitz numbers

Yurii Burman; Raphaël Fesler

Real algebraic curves and twisted Hurwitz numbers

Algebraic Geometry 2024-03-12 v1 Combinatorics

Authors: Yurii Burman , Raphaël Fesler

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.

Keywords

hurwitz numbers curves

Cite

@article{arxiv.2403.06171,
  title  = {Real algebraic curves and twisted Hurwitz numbers},
  author = {Yurii Burman and Raphaël Fesler},
  journal= {arXiv preprint arXiv:2403.06171},
  year   = {2024}
}

Comments

15 pages, 6 figures

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