Mariño-Vafa Formula and Hodge Integral Identities

Details Mariño-Vafa Formula and Hodge Integral Identities Mariño-Vafa Formula and Hodge Integral Identities

2003-08-03

arxiv.org/abs/math/0308015v2

Mathematics

Algebraic Geometry

16 pages. Final version

Scientific paper

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 $\lambda_g$ 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 Mari\~no-Vafa formula.

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