%0 Journal Article %T Polynomial recursion formula for linear Hodge integrals %A Motohico Mulase %A Naizhen Zhang %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0908.2267v4