Polypositroids
From MaRDI portal
Publication:6131053
DOI10.1017/fms.2024.11arXiv2010.07120MaRDI QIDQ6131053
Thomas Lam, Alexander Postnikov
Publication date: 4 April 2024
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.07120
Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weighted digraphs and tropical cones
- Cluster structures on strata of flag varieties
- Arrangements of equal minors in the positive Grassmannian
- Positively oriented matroids are realizable
- Permutahedra and generalized associahedra.
- Positroids and Schubert matroids
- Exchange relations for finite type cluster algebras with acyclic initial seed and principal coefficients
- Perfect matchings and the octahedron recurrence
- Faces of generalized permutohedra
- Coxeter elements and periodic Auslander-Reiten quiver.
- Cambrian fans.
- Cluster algebras of finite type via Coxeter elements and principal minors.
- Combinatorial geometries, convex polyhedra, and Schubert cells
- A type-B associahedron.
- \(Y\)-systems and generalized associahedra
- Maximal minors and their leading terms
- Discrete polymatroids
- Positive configuration space
- Coxeter submodular functions and deformations of Coxeter permutahedra
- Positivity for cluster algebras
- The six and eight-vertex models revisited
- Alcoved polytopes. II
- Alcoved polytopes. I.
- Geometry of Chow quotients of Grassmannians
- Cluster algebras I: Foundations
- Positroid varieties: juggling and geometry
- The dual braid monoid
- Positroids and non-crossing partitions
- Tropical and ordinary convexity combined
- Convex Rank Tests and Semigraphoids
- Permutohedra, Associahedra, and Beyond
- Semimodular Functions and Combinatorial Geometries
- Discrete Convex Analysis
- The twist for positroid varieties
- Deformation Cones of Nested Braid Fans
- Essentials of Tropical Combinatorics
- Weak separation and plabic graphs
- Non-crossing partition lattices in finite real reflection groups
- Totally nonnegative Grassmannian and Grassmann polytopes
- Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors
