Polynomial recursion formula for linear Hodge integrals
Algebraic Geometry
2010-10-05 v4 Combinatorics
Quantum Algebra
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.
Cite
@article{arxiv.0908.2267,
title = {Polynomial recursion formula for linear Hodge integrals},
author = {Motohico Mulase and Naizhen Zhang},
journal= {arXiv preprint arXiv:0908.2267},
year = {2010}
}