Double Hurwitz numbers and multisingularity loci in genus 0
Résumé
In the Hurwitz space of rational functions on the complex projective line 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 Poincaré dual cohomology classes of these loci and deduce a differential equation on Hurwitz numbers.
Origine : Fichiers produits par l'(les) auteur(s)
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