Maxim Eduardovich Kazarian

KP integrability of non-perturbative differentials

We prove the KP integrability of non-perturbative topological recursion, which can be considered as a formal ℏ -deformation of the Krichever construction of algebro-geometric solutions of the KP hierarchy. This property goes back to a 2011 conjecture of Borot and Eynard.