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On Hurwitz numbers and Hodge integrals

Torsten Ekedahl·Sergei Lando·Michael Shapiro·Alek Vainshtein
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Abstract

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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Torsten Ekedahl, Sergei Lando, Michael Shapiro, Alek Vainshtein. 1999-02-21. On Hurwitz numbers and Hodge integrals. https://doi.org/10.1016/s0764-4442(99)80435-2

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