Frédéric Chapoton - Stokes posets and serpent nests

dmtcs:1382 - Discrete Mathematics & Theoretical Computer Science, December 2, 2016, Vol. 18 no. 3 - https://doi.org/10.46298/dmtcs.1382
Stokes posets and serpent nestsArticle

Authors: Frédéric Chapoton ORCID1

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.

https://doi.org/10.46298/dmtcs.1382
Source: HAL:hal-01147113v4
Volume: Vol. 18 no. 3
Section: Combinatorics
Published on: December 2, 2016
Accepted on: November 16, 2016
Submitted on: December 2, 2016
Keywords: poset,Tamari lattice,quadrangulation,MSC: 05E 06A11 13F60,[MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT],[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO],[MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA]
Funding:
    Source : HAL
  • Combinatoire Algébrique, Résurgence, Moules et Applications; Funder: French National Research Agency (ANR); Code: ANR-12-BS01-0017

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