Blobbed topological recursion and KP integrability
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.
Authors
- Petr Dunin‐Barkowski (ORCID: https://orcid.org/0000-0003-1475-0534)
- Boris Bychkov
- A. Alexandrov (ORCID: https://orcid.org/0000-0002-8464-254X)
- Maxim Kazarian (ORCID: https://orcid.org/0000-0002-3928-8799)
- Sergey Shadrin (ORCID: https://orcid.org/0000-0002-4139-9754)
Institutions
- National Research University Higher School of Economics (RU)
- Skolkovo Institute of Science and Technology (RU)
- Kurchatov Institute (RU)
- Institute for Basic Science (KR)
- Carmel (Israel) (IL)
- Netherlands Institute for Advanced Study in the Humanities and Social Sciences (NL)
- Moscow Polytechnic University (RU)
- University of Haifa (IL)
Publication Details
- Journal
- Selecta Mathematica
- Published
- 2026-03-03
- DOI
- https://doi.org/10.1007/s00029-026-01135-z
- Primary Topic
- Advanced Topology and Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek
- Israel Science Foundation
- Russian Science Foundation
- University of Science and Technology of China
- Institute for Basic Science