On Hurwitz numbers and Hodge integrals

In this paper we find an explicit formula for the number of topologically different ramified coverings $C\to\CP^1$ (C is a compact Riemann surface of genus g) with only one complicated branching point in terms of Hodge integrals over the moduli space of genus g curves with marked points.

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Bibliographic Details
Main Authors Ekedahl, Torsten, Lando, Sergei, Shapiro, Michael, Vainshtein, Alek
Format Journal Article
LanguageEnglish
Published 18.02.1999
Subjects
Mathematics - Algebraic Geometry
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Summary:In this paper we find an explicit formula for the number of topologically different ramified coverings $C\to\CP^1$ (C is a compact Riemann surface of genus g) with only one complicated branching point in terms of Hodge integrals over the moduli space of genus g curves with marked points.
DOI:10.48550/arxiv.math/9902104