On Hurwitz numbers and Hodge integrals

Torsten Ekedahl; Sergei Lando; Michael Shapiro; Alek Vainshtein

doi:10.1016/S0764-4442(99)80435-2

On Hurwitz numbers and Hodge integrals

代数几何 2009-10-31 v2

作者: Torsten Ekedahl , Sergei Lando , Michael Shapiro , Alek Vainshtein

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摘要

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.

关键词

hurwitz numbers mapping class groups of surfaces hodge theory

引用

@article{arxiv.math/9902104,
  title  = {On Hurwitz numbers and Hodge integrals},
  author = {Torsten Ekedahl and Sergei Lando and Michael Shapiro and Alek Vainshtein},
  journal= {arXiv preprint arXiv:math/9902104},
  year   = {2009}
}

备注

5 pages, several typos corrected

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