Blobbed topological recursion and KP integrability

• A. Alexandrov ^[4] ; B. Bychkov ^[1] ; P. Dunin-Barkowski ^[2] ; M. Kazarian ^[2] ; S. Shadrin ^[3]
  1. [1] University of Haifa

     University of Haifa

     Israel

     
  2. [2] Higher School of Economics, National Research University

     Higher School of Economics, National Research University

     Rusia

     
  3. [3] University of Amsterdam

     University of Amsterdam

     Países Bajos

     
  4. [4] Institute for Basic Science (IBS), Pohang, Korea

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 32, Nº. 2, 2026
• Idioma: inglés
• DOI: 10.1007/s00029-026-01135-z
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• Resumen

  • 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.

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