Plabic graphs and zonotopal tilings

DOI10.1112/plms.12139zbMath1411.05251arXiv1611.00492OpenAlexW2547827271MaRDI QIDQ2632711

Pavel Galashin

Publication date: 15 May 2019

Published in: Séminaire Lotharingien de Combinatoire, Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00492

zbMATH Keywords

zonotopal tilingplabic graphsplabic graphweak separationcyclic zonotopezonotopal tilingshigher Bruhat order ring of the flag varietypurity phenomenonChord separated sets

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Graph theory (05C99) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Cluster algebras (13F60)

Related Items (16)

The first higher Stasheff-Tamari orders are quotients of the higher Bruhat orders ⋮ On interrelations between strongly, weakly and chord separated set-systems (a geometric approach) ⋮ Plabic graphs and zonotopal tilings ⋮ Weak separation, pure domains and cluster distance ⋮ Higher secondary polytopes and regular plabic graphs ⋮ Purity and Separation for Oriented Matroids ⋮ Critical varieties in the Grassmannian ⋮ Cubillages of cyclic zonotopes ⋮ Cubillages in odd dimensions ⋮ Triangulations and soliton graphs for totally positive Grassmannian ⋮ The weak separation in higher dimensions ⋮ Hypersimplicial subdivisions ⋮ The convex dimension of hypergraphs and the hypersimplicial Van Kampen-Flores theorem ⋮ Flip cycles in plabic graphs ⋮ The first higher Stasheff-Tamari orders are quotients of the higher Bruhat orders ⋮ THE COMBINATORICS OF TENSOR PRODUCTS OF HIGHER AUSLANDER ALGEBRAS OF TYPEA

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