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Polynomial recursion formula for linear Hodge integrals

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arxiv 0908.2267 v4 pith:YANHDYNP submitted 2009-08-17 math.AG math.COmath.QA

Motohico Mulase , Naizhen Zhang This is my paper · ORCID
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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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  1. A refined twist on Hurwitz numbers

    math.CO 2025-08 conditional novelty 8.0 of 10

    A two-parameter CJT refinement of Jucys-Murphy theory interpolates Schur and zonal actions, yields cut-and-join recursions and tropicalizations of b-Hurwitz numbers, and proves piecewise polynomiality of (1+b) times t...

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