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

Published 30 Jun 2019 in math-ph and math.MP | (1907.00357v1)

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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Jian Zhou

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