Grothendieck's Dessins d'Enfants in a Web of Dualities. II

Abstract

We show that the spectral curve for Eynard-Orantin topological recursions satisfied by counting Grothendieck's dessins d'enfants are related to Narayana numbers. This suggests a connection of dessins to combinatorics of Coxeter groups, noncrossing partitions, free probability theory, and cluster algebras.

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Cited by in corpus (4)

• Intersection numbers on ${\overline{\mathcal{M}}}_{g,n}$ and BKP hierarchy
• Grothendieck's Dessins d'Enfants in a Web of Dualities. III
• Topological 1D Gravity, KP Hierarchy, and Orbifold Euler Characteristics of ${\overline{\mathcal{M}}}_{g,n}$
• On affine coordinates of the tau-function for open intersection numbers