Degenerate and irregular topological recursion

Fuente: arXiv
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Auteurs principaux: Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr, Kazarian, Maxim, Shadrin, Sergey
Format: Preprint
Publié: 2024
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author Alexandrov, Alexander
Bychkov, Boris
Dunin-Barkowski, Petr
Kazarian, Maxim
Shadrin, Sergey
author_facet Alexandrov, Alexander
Bychkov, Boris
Dunin-Barkowski, Petr
Kazarian, Maxim
Shadrin, Sergey
contents We use the theory of $x-y$ duality to propose a new definition / construction for the correlation differentials of topological recursion; we call it "generalized topological recursion". This new definition coincides with the original topological recursion of Chekhov-Eynard-Orantin in the regular case and allows, in particular, to get meaningful answers in a variety of irregular and degenerate situations.
format Preprint
id arxiv_https___arxiv_org_abs_2408_02608
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Degenerate and irregular topological recursion
Alexandrov, Alexander
Bychkov, Boris
Dunin-Barkowski, Petr
Kazarian, Maxim
Shadrin, Sergey
Mathematical Physics
High Energy Physics - Theory
Algebraic Geometry
Combinatorics
We use the theory of $x-y$ duality to propose a new definition / construction for the correlation differentials of topological recursion; we call it "generalized topological recursion". This new definition coincides with the original topological recursion of Chekhov-Eynard-Orantin in the regular case and allows, in particular, to get meaningful answers in a variety of irregular and degenerate situations.
title Degenerate and irregular topological recursion
topic Mathematical Physics
High Energy Physics - Theory
Algebraic Geometry
Combinatorics
url https://arxiv.org/abs/2408.02608