Mathematics – Algebraic Geometry
Scientific paper
2009-08-17
Communications in Number Theory and Physics vol. 4 No.2, 267--294 (2010)
Mathematics
Algebraic Geometry
Scientific paper
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.
Mulase Motohico
Zhang Naizhen
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