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VOL. 83 | 2019 On Dubrovin's Frobenius structures on Hurwitz spaces
Sergei K. Lando

Editor(s) Kentaro Hori, Changzheng Li, Si Li, Kyoji Saito

## Abstract

Hurwitz spaces are spaces of meromorphic functions on algebraic curves. B. Dubrovin introduced Frobenius structures on Hurwitz spaces, which serve as one of the most spectacular examples of such structures. On the other hand, Hurwitz spaces admit natural compactification by stable maps. The main goal of the present paper is to formulate a question concerning the behavior of Dubrovin's Frobenius structures on Hurwitz spaces on the boundary of the compactification. Sample computations justifying the question are given.

## Information

Published: 1 January 2019
First available in Project Euclid: 26 December 2019

zbMATH: 07276142

Digital Object Identifier: 10.2969/aspm/08310221

Subjects:
Primary: 14D22 , 14H70 , 30F20

Keywords: Frobenius structure , Hurwitz spaces , Lyashko–Looijenga map , moduli space , Riemann surfaces