Positroids and non-crossing partitions

DOI10.1090/tran/6331zbMath1325.05015arXiv1308.2698OpenAlexW1931704346WikidataQ57310326 ScholiaQ57310326MaRDI QIDQ3448990

Felipe Rincón, Federico Ardila, Lauren K. Williams

Publication date: 3 November 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.2698

zbMATH Keywords

Postnikov's matroid

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Grassmannians, Schubert varieties, flag manifolds (14M15) Noncommutative probability and statistics (46L53) Combinatorial aspects of matroids and geometric lattices (05B35) Semialgebraic sets and related spaces (14P10)

Related Items (31)

On positroids induced by rational Dyck paths ⋮ Boolean product polynomials and Schur-positivity ⋮ Coxeter pop-tsack torsing ⋮ Ehrhart polynomials of rank two matroids ⋮ Bruhat interval polytopes ⋮ Total Positivity is a Quantum Phenomenon: The Grassmannian Case ⋮ Critical varieties in the Grassmannian ⋮ A pattern avoidance characterization for smoothness of positroid varieties ⋮ Cancellation of spurious poles in \(N=4\) SYM: physical and geometric ⋮ Polypositroids ⋮ Connectivity gaps among matroids with the same enumerative invariants ⋮ On two notions of total positivity for partial flag varieties ⋮ The positive Grassmannian, the amplituhedron, and cluster algebras ⋮ A study in \(\mathbb{G}_{\mathbb{R} , \geq 0} ( 2 , 6 )\): from the geometric case book of Wilson loop diagrams and SYM \(N =4\) ⋮ The \(h\)-vector of a positroid is a pure O-sequence ⋮ Unnamed Item ⋮ The Waldspurger transform of permutations and alternating sign matrices ⋮ Wilson loop diagrams and positroids ⋮ The expected codimension of a matroid variety ⋮ The full Kostant-Toda hierarchy on the positive flag variety ⋮ Positively hyperbolic varieties, tropicalization, and positroids ⋮ Dyck paths and positroids from unit interval orders ⋮ Dyck paths and positroids from unit interval orders ⋮ Facial structures of lattice path matroid polytopes ⋮ Positive configuration space ⋮ The rank function of a positroid and non-crossing partitions ⋮ Flats of a positroid from its decorated permutation ⋮ The positive Dressian equals the positive tropical Grassmannian ⋮ Quotients of uniform positroids ⋮ Weak separation and plabic graphs ⋮ The Dehn–Sommerville relations and the Catalan matroid

Uses Software

• OEIS

Cites Work

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