Some results of Marino-Vafa formula

Details Some results of Marino-Vafa formula Some results of Marino-Vafa formula

2006-01-09

arxiv.org/abs/math/0601167v4

Mathematics

Algebraic Geometry

13 pages, LaTeX

Scientific paper

In this paper we derive some new Hodge integral identities by taking limits of the Marino-Vafa formula. These identities include the formula of lambda_{1}lambda_{g}-integral on M_{g,1}, the vanishing result of lambda_{g}ch_{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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