Stokes posets and serpent nests
Representation Theory
2015-05-25 v1 Combinatorics
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.
Cite
@article{arxiv.1505.05990,
title = {Stokes posets and serpent nests},
author = {Frédéric Chapoton},
journal= {arXiv preprint arXiv:1505.05990},
year = {2015}
}
Comments
24 pages, 12 figures