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arXiv · 1505.05990

Stokes posets and serpent nests

Frédéric Chapoton
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Abstract

We study two different objects attached to an arbitrary quadrangulation of a regular polygon. The first one is a poset, closely related to the Stokes polytopes introduced by Baryshnikov. The second one is a set of some paths configurations inside the quadrangulation, satisfying some specific constraints. These objects provide a generalisation of the existing combinatorics of cluster algebras and nonnesting partitions of type A.

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Frédéric Chapoton. 2015-05-22. Stokes posets and serpent nests. https://arxiv.org/abs/1505.05990

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