Hodge integrals and Hurwitz numbers via virtual localization
Algebraic Geometry
2007-05-23 v1
Abstract
Ekedahl, Lando, Shapiro, and Vainshtein announced a remarkable formula expressing Hurwitz numbers (counting covers of the projective line with specified simple branch points, and specified branching over one other point) in terms of Hodge integrals. We give a proof of this formula using virtual localization on the moduli space of stable maps, and describe how the proof could be simplified by the proper algebro-geometric definition of a "relative space".
Keywords
Cite
@article{arxiv.math/0003028,
title = {Hodge integrals and Hurwitz numbers via virtual localization},
author = {Tom Graber and Ravi Vakil},
journal= {arXiv preprint arXiv:math/0003028},
year = {2007}
}
Comments
13 pages, 1 figure