Correlators of diverse models are expressed via universal formulae derived from a single defining function using KdV flows and the Gel'fand-Dikii equation.
Bouchard, Les Houches lecture notes on topological recur sion, 2024; arXiv:2409.06657 [math-ph]
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Schwinger-Dyson equations for 2D Euclidean pure gravity are reformulated as Chekhov-Eynard-Orantin topological recursion for basic-type, strip-type, and continuum dynamical triangulation models.
Lecture notes review exact WKB analysis for ODEs and its combination with topological recursion and isomonodromy to compute monodromy and resurgent structures for Painlevé equations.
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Universal formulae for correlators of a broad class of models
Correlators of diverse models are expressed via universal formulae derived from a single defining function using KdV flows and the Gel'fand-Dikii equation.
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Dynamical Triangulations for 2D Pure Gravity and Topological Recursion
Schwinger-Dyson equations for 2D Euclidean pure gravity are reformulated as Chekhov-Eynard-Orantin topological recursion for basic-type, strip-type, and continuum dynamical triangulation models.
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Les Houches Lectures on Exact WKB Analysis and Painlev\'e Equations
Lecture notes review exact WKB analysis for ODEs and its combination with topological recursion and isomonodromy to compute monodromy and resurgent structures for Painlevé equations.