Hurwitz numbers and intersections on moduli spaces of curves

Mathematics – Algebraic Geometry

Scientific paper

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30 pages (AMSTeX). Minor typos are corrected

Scientific paper

10.1007/s002220100164

This article is an extended version of preprint math.AG/9902104. We find an
explicit formula for the number of topologically different ramified coverings
of a sphere by a genus g surface 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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