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On Hurwitz numbers and Hodge integrals

Torsten Ekedahl, Sergei Lando, Michael Shapiro, Alek Vainshtein

math.AGarXiv:math/9902104

Abstract

In this paper we find an explicit formula for the number of topologically different ramified coverings C1 (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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