Spectral curve for Eynard-Orantin recursions on dessins d'enfants is related to Narayana numbers.
Genus Expansions of Hermitian One-Matrix Models: Fat Graphs vs. Thin Graphs
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abstract
We consider two different genus expansions of the free energy functions of Hermitian one-matrix models, one using fat graphs, one using ordinary graphs (thin graphs). Some structural results are first proved for the thin version of genus expansion using renormalized coupling constants, and then applied to the fat version.
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2019 1verdicts
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Grothendieck's Dessins d'Enfants in a Web of Dualities. II
Spectral curve for Eynard-Orantin recursions on dessins d'enfants is related to Narayana numbers.