Double Hurwitz numbers and multisingularity loci in genus 0
Algebraic Geometry
2019-08-02 v1
Abstract
In the Hurwitz space of rational functions on CP^1 with poles of given orders, we study the loci of multisingularities, that is, the loci of functions with a given ramification profile over 0. We prove a recursion relation on the Poincare dual cohomology classes of these loci and deduce a differential equation on Hurwitz numbers.
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Cite
@article{arxiv.1908.00455,
title = {Double Hurwitz numbers and multisingularity loci in genus 0},
author = {Maxim Kazarian and Sergei Lando and Dimitri Zvonkine},
journal= {arXiv preprint arXiv:1908.00455},
year = {2019}
}
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28 pages