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Degenerate and irregular topological recursion

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arxiv 2408.02608 v3 pith:CP4PXFE2 submitted 2024-08-05 math-ph hep-thmath.AGmath.COmath.MP

Degenerate and irregular topological recursion

classification math-ph hep-thmath.AGmath.COmath.MP
keywords recursiontopologicaldefinitiondegenerateirregularallowsanswerscall
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Universal Correlators on Exponentially Ramified Spectral Curves

    math-ph 2026-07 conditional novelty 6.0

    Generalized topological recursion extends to spectral curves with essential singularities by replacing residues at the essential point with residues at ordinary meromorphic points.