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Mariño-Vafa Formula and Hodge Integral Identities

Chiu-Chu Melissa Liu·Kefeng Liu·Jian Zhou
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Abstract

In this note we derive some consequences from the Mariño-Vafa formula and the cut-and-join equation, these include unified simple proofs of the $λ_g$ 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 Mariño-Vafa formula.

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BibTeXRIS

Chiu-Chu Melissa Liu, Kefeng Liu, Jian Zhou. 2005-03-14. Mariño-Vafa Formula and Hodge Integral Identities. https://arxiv.org/abs/math/0308015

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