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On the large genus asymptotics of Weil-Petersson volumes

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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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2025 1

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representative citing papers

Non-perturbative effects in JT gravity from KdV equations

hep-th · 2025-05-22 · conditional · novelty 6.0

The KdV equation governing 2D topological gravity admits a one-parameter transseries; its leading nonperturbative sector reproduces known JT gravity instanton corrections and extends them to multi-instanton order.

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  • Non-perturbative effects in JT gravity from KdV equations hep-th · 2025-05-22 · conditional · none · ref 12 · internal anchor

    The KdV equation governing 2D topological gravity admits a one-parameter transseries; its leading nonperturbative sector reproduces known JT gravity instanton corrections and extends them to multi-instanton order.