Physics & Spacearticle2026-10-15

KP integrability of non-perturbative differentials

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Abstract

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.

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View paper (DOI)Open access versionOpenAlexJournal de l’École polytechnique — MathématiquesPublished 2026-10-15

Authors: A. Alexandrov, Boris Sergeevich Bychkov, Petr Dunin‐Barkowski, Maxim Eduardovich Kazarian, Sergey Viktorovich Shadrin

Institutions: University of Amsterdam, University of Haifa, National Research University Higher School of Economics, Institute for Basic Science