KP integrability of non-perturbative differentials
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian, Sergey Shadrin
TL;DR
This paper proves that non-perturbative topological recursion maintains KP integrability, confirming a conjecture that links it to algebro-geometric solutions of the KP hierarchy.
Contribution
It establishes the KP integrability of non-perturbative topological recursion, extending the Krichever construction with a formal ar-deformation.
Findings
Proves KP integrability of non-perturbative topological recursion
Confirms a 2011 conjecture by Borot and Eynard
Links topological recursion to algebro-geometric KP solutions
Abstract
We prove the KP integrability of non-perturbative topological recursion, which can be considered as a formal -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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Taxonomy
TopicsDifferential Equations and Numerical Methods · Numerical methods for differential equations · Nonlinear Differential Equations Analysis