Stokes posets and serpent nests
classification
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math.CO
keywords
objectsquadrangulationsomestokesalgebrasarbitraryattachedbaryshnikov
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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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