Resurgent large genus asymptotics of intersection numbers
Algebraic Geometry
2023-09-07 v1 Mathematical Physics
Geometric Topology
math.MP
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 -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 -spin and Theta-class intersection numbers.
Keywords
Cite
@article{arxiv.2309.03143,
title = {Resurgent large genus asymptotics of intersection numbers},
author = {Bertrand Eynard and Elba Garcia-Failde and Alessandro Giacchetto and Paolo Gregori and Danilo Lewański},
journal= {arXiv preprint arXiv:2309.03143},
year = {2023}
}
Comments
47 pages, 7 figures