110 citations
- National Research University Higher School of EconomicsRU13 papers
- University of AmsterdamNL8 papers
- Institute for Basic ScienceKR7 papers
- Skolkovo Institute of Science and TechnologyRU7 papers
- University of HaifaIL7 papers
- Kurchatov InstituteRU6 papers
- Carmel (Israel)IL5 papers
- George Washington UniversityUS5 papers
- Institute for Nuclear ResearchRU5 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PaviaIT5 papers
- Johannes Gutenberg University MainzDE5 papers
- Kent State UniversityUS5 papers
6 papers · 1 filter
Blobbed topological recursion and KP integrability
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
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 adm…
Degenerate and irregular topological recursion
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We use the theory of duality to propose a new definition / construction for the correlation differentials of topological recursion; we call it "generalized topological recurs…
Any topological recursion on a rational spectral curve is KP integrable
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
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…
Symplectic duality via log topological recursion
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We review the notion of symplectic duality earlier introduced in the context of topological recursion. We show that the transformation of symplectic duality can be expressed as a c…
KP integrability through the swap relation
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We discuss a universal relation that we call the swap relation, which plays a prominent role in the theory of topological recursion, Hurwitz theory, and free probability theo…
Topological recursion, symplectic duality, and generalized fully simple maps
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
For a given spectral curve, we construct a family of symplectic dual spectral curves for which we prove an explicit formula expressing the -point functions produced by the topol…