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On the large genus asymptotics of Weil-Petersson volumes

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arxiv 0812.0544 v2 pith:4GRA52YJ submitted 2008-12-02 math.AG

Peter Zograf This is my paper · ORCID
classification math.AG
keywords volumesweil-peterssonasymptoticsformulasgenuslargeaccuracyalgebraic
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abstract

A relatively fast algorithm for evaluating Weil-Petersson volumes of moduli spaces of complex algebraic curves is proposed. On the basis of numerical data, a conjectural large genus asymptotics of the Weil-Petersson volumes is computed. Asymptotic formulas for the intersection numbers involving $\psi$-classes are conjectured as well. The accuracy of the formulas is high enough to believe that they are exact.

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