English

Hurwitz numbers and intersections on moduli spaces of curves

Algebraic Geometry 2009-10-31 v3

Abstract

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.

Keywords

Cite

@article{arxiv.math/0004096,
  title  = {Hurwitz numbers and intersections on moduli spaces of curves},
  author = {T. Ekedahl and S. Lando and M. Shapiro and A. Vainshtein},
  journal= {arXiv preprint arXiv:math/0004096},
  year   = {2009}
}

Comments

30 pages (AMSTeX). Minor typos are corrected