Blobbed topological recursion and KP integrability

Selecta Mathematica 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/s00029-026-01135-z
Cited by: 0
References: 26

Abstract

Abstract We revise the notion of the blobbed topological recursion by extending it to the setting of generalized topological recursion as well as allowing blobs which do not necessarily admit topological expansion. We show that the so-called non-perturbative differentials form a special case of this revisited version of blobbed topological recursion. Furthermore, we prove the KP integrability of the differentials of blobbed topological recursion for the input data that include KP-integrable blobs. This result generalizes, unifies, and gives a new proof of the KP integrability of nonperturbative differentials conjectured by Borot–Eynard and recently proved by the authors.

Fields of Study & Subjects

Advanced Topology and Set Theory

Publication details

Journal / source
Selecta Mathematica
Publisher
Springer Science and Business Media LLC
Volume
32
Issue
2
Publication date
3 March 2026
Language
EN