Polynomial recursion formula for linear Hodge integrals
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Polynomial recursion formula for linear Hodge integrals

  • Author(s): Mulase, Motohico
  • Zhang, Naizhen
  • et al.

Published Web Location

https://arxiv.org/pdf/0908.2267.pdf
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Abstract

We establish a polynomial recursion formula for linear Hodge integrals. It is obtained as the Laplace transform of the cut-and-join equation for the simple Hurwitz numbers. We show that the recursion recovers the Witten-Kontsevich theorem when restricted to the top degree terms, and also the combinatorial factor of the lambda_g formula as the lowest degree terms.

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