Degenerate and irregular topological recursion
Mathematical Physics
2025-05-13 v3 High Energy Physics - Theory
Algebraic Geometry
Combinatorics
math.MP
Abstract
We use the theory of 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.
Keywords
Cite
@article{arxiv.2408.02608,
title = {Degenerate and irregular topological recursion},
author = {Alexander Alexandrov and Boris Bychkov and Petr Dunin-Barkowski and Maxim Kazarian and Sergey Shadrin},
journal= {arXiv preprint arXiv:2408.02608},
year = {2025}
}
Comments
v3: 30 pages; several corrections, clarifications and comments added thanks to the remarks of the anonymous referees