Resurgent large genus asymptotics of intersection numbers

Bertrand Eynard; Elba Garcia-Failde; Alessandro Giacchetto; Paolo Gregori; Danilo Lewański

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arXiv · 2309.03143

Resurgent large genus asymptotics of intersection numbers

Bertrand Eynard·Elba Garcia-Failde·Alessandro Giacchetto·Paolo Gregori·Danilo Lewański

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Abstract

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.

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BibTeX RIS

Bertrand Eynard, Elba Garcia-Failde, Alessandro Giacchetto, Paolo Gregori, Danilo Lewański. 2023-09-06. Resurgent large genus asymptotics of intersection numbers. https://arxiv.org/abs/2309.03143

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