Mari\~no-Vafa Formula and Hodge Integral Identities
Algebraic Geometry
2007-05-23 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this note we derive some consequences from the Mari\~no-Vafa formula and the cut-and-join equation, these include unified simple proofs of the conjecture and some other Hodge integral identities. We also describe a proof of the ELSV formula relating Hurwitz numbers and Hodge integrals by using the cut-and-join equation, following our proof of the Mari\~no-Vafa formula.
Cite
@article{arxiv.math/0308015,
title = {Mari\~no-Vafa Formula and Hodge Integral Identities},
author = {Chiu-Chu Melissa Liu and Kefeng Liu and Jian Zhou},
journal= {arXiv preprint arXiv:math/0308015},
year = {2007}
}
Comments
16 pages. Final version