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Pré-Publication, Document De Travail Année : 2023

Resurgent large genus asymptotics of intersection numbers

Résumé

In this paper, we present a novel approach for computing the large genus asymptotics of intersection numbers. Our strategy is based on a resurgent analysis of the $n$-point functions of such intersection numbers, which are computed via determinantal formulae, and relies on the presence of a quantum curve. With this approach, we are able to extend the recent results of Aggarwal for Witten-Kontsevich intersection numbers with the computation of all subleading corrections, proving a conjecture of Guo-Yang, and to obtain new results on $r$-spin and Theta-class intersection numbers.

Dates et versions

hal-04230008 , version 1 (05-10-2023)

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Bertrand Eynard, Elba Garcia-Failde, Alessandro Giacchetto, Paolo Gregori, Danilo Lewański. Resurgent large genus asymptotics of intersection numbers. 2023. ⟨hal-04230008⟩
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