Some results of Marino-Vafa formula

2006/01/09 by Yi Li, Li, Yi
Mathematics · #14A20 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14A20

paper · pdf · doi:10.48550/arxiv.math/0601167

13 pages, LaTeX

arxiv created 2006/08/17 · arxiv updated 2009/12/01

Abstract

In this paper we derive some new Hodge integral identities by taking limits of the Marino-Vafa formula. These identities include the formula of lambda₁lambda_g-integral on M_g,1, the vanishing result of lambda_gch_2l(E)-integral on M_g,1 for l taking value between 1 and g-3. Finally, we give another simple proof of lambda_g conjecture and some examples of low genus integral.

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