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arxiv: math/9902104 · v2 · submitted 1999-02-18 · 🧮 math.AG

On Hurwitz numbers and Hodge integrals

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keywords genushodgeintegralsbranchingcompactcomplicatedcoveringscurves
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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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