KP integrability of non-perturbative differentials

Abstract

We prove the KP integrability of non-perturbative topological recursion, which can be considered as a formal $\hslash$-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.

arXiv comment26 pages, v4: corrected the projection property for n=0; minor corrections and clarifications