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Mari\~ no-Vafa Formula and Hodge Integral Identities

Chiu-Chu Melissa Liu Kefeng Liu Jian Zhou

Algebraic Geometry mathscidoc: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.
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@inproceedings{chiu-chu2003mari\~,
  title={Mari\~ no-Vafa Formula and Hodge Integral Identities},
  author={Chiu-Chu Melissa Liu, Kefeng Liu, and Jian Zhou},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111324403265621},
  booktitle={arXiv preprint math/0308015},
  year={2003},
}
Chiu-Chu Melissa Liu, Kefeng Liu, and Jian Zhou. Mari\~ no-Vafa Formula and Hodge Integral Identities. 2003. In arXiv preprint math/0308015. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111324403265621.
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