Arrangements of equal minors in the positive Grassmannian

DOI10.1016/j.aim.2016.03.031zbMath1343.05169OpenAlexW1504731849MaRDI QIDQ304109

Alexander Postnikov, Miriam Farber

Publication date: 23 August 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1721.1/118450

zbMATH Keywords

Gröbner basestriangulationsminorsEulerian numberstotally positive matriceshoneycombsmatrix completion problemSchur positivitycluster algebrasplabic graphsLaurent phenomenonaffine Coxeter arrangementalcoved polytopesarrangements of equal minorschain reactions of mutationshypersimplicesmutation distancePlücker coordinatespositive Grassmanniansorted setsthracklesweakly separated sets

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Cluster algebras (13F60)

Related Items

Dimers, webs, and positroids, Weak separation, pure domains and cluster distance, Polypositroids, Arrangements of minors in the positive Grassmannian and a triangulation of the hypersimplex, Moment curves and cyclic symmetry for positive Grassmannians, Analytic bundle structure on the idempotent manifold, Ising model and the positive orthogonal Grassmannian

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