Any Topological Recursion on a Rational Spectral Curve is KP Integrable

Communications in Mathematical Physics 2026 Open access

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Authors: Alexander S. Alexandrov, Boris Sergeevich Bychkov, Petr Dunin‐Barkowski, Maxim Eduardovich Kazarian, Sergey Viktorovich Shadrin
DOI: 10.1007/s00220-026-05566-9
Cited by: 0
References: 19

Abstract

Abstract We prove that for any initial data on a genus zero spectral curve the corresponding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type formulas to the r -th roots of the twisted powers of the log canonical bundles.

Fields of Study & Subjects

Advanced Numerical Analysis Techniques

Publication details

Journal / source
Communications in Mathematical Physics
Publisher
Springer Science and Business Media LLC
Volume
407
Issue
4
Pages
69–69
Publication date
9 March 2026
Language
EN