Mariño-Vafa Formula and Hodge Integral Identities

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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.
16 pages. Final version

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Algebraic Geometry, High Energy Physics - Theory, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/68228

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308015
 http://arxiv.org/abs/math/0308015

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arXiv