Communications in Number Theory and Physics
Volume 4 (2010)
Polynomial recursion formula for linear Hodge integrals
Pages: 267 – 293
We establish a polynomial recursion formula forlinear Hodge integrals. It is obtained as the Laplacetransform of the cut-and-join equation for the simpleHurwitz numbers. We show that the recursion recovers the Witten–Kontsevichtheorem when restricted to the top degree terms, andalso the combinatorial factor of the$\lam_g$ formula as the lowest degree terms.