On Hurwitz numbers and Hodge integrals

Details On Hurwitz numbers and Hodge integrals On Hurwitz numbers and Hodge integrals

1999-02-18

arxiv.org/abs/math/9902104v2

Mathematics

Algebraic Geometry

5 pages, several typos corrected

Scientific paper

10.1016/S0764-4442(99)80435-2

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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