Large genus behavior of topological recursion

Bertrand Eynard (1, 2, 3)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 CRM - Centre de Recherches Mathématiques [Montréal]
3 IHES - Institut des Hautes Etudes Scientifiques

We show that for a rather generic set of regular spectral curves, the Topological-Recursion invariants $F_g$ grow at most like $O((\beta g)!r −g)$ with some $r > 0$, and $\beta\leq 5$.

Domains: Physics [physics]; Mathematical Physics [math-ph]; Physics [physics]; High Energy Physics - Theory [hep-th]

Bertrand Eynard. Large genus behavior of topological recursion. 2019. ⟨cea-02126908⟩