Degenerate and irregular topological recursion
arXiv:2408.02608 · doi:10.1007/s00220-025-05274-w
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.
v3: 30 pages; several corrections, clarifications and comments added thanks to the remarks of the anonymous referees