# MathSciDoc: An Archive for Mathematician ∫

#### Algebraic Geometrymathscidoc:1912.43061

arXiv preprint math/0308015, 2003.8
In this note we derive some consequences from the Mario-Vafa formula and the cut-and-join equation, these include unified simple proofs of the \lambda_g 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 Mario-Vafa formula.
@inproceedings{chiu-chu2003mari\~,