Shelling the \(m=1\) amplituhedron

DOI10.5070/C63160419MaRDI QIDQ5886252

John Machacek, Steven N. Karp

Publication date: 31 March 2023

Published in: Combinatorial Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.02786

zbMATH Keywords

shellabilityEulerian numberSperner propertyamplituhedronlog concavity

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorics of partially ordered sets (06A07) Supersymmetric field theories in quantum mechanics (81T60) Grassmannians, Schubert varieties, flag manifolds (14M15)

Cites Work

• Centrally symmetric manifolds with few vertices
• Posets, regular CW complexes and Bruhat order
• Decompositions of amplituhedra
• The morphology of partially ordered sets
• Combinatorics and commutative algebra.
• The amplituhedron
• A Birkhoff-Bruhat atlas for partial flag varieties
• EL-shelling on comodernistic lattices
• Regularity theorem for totally nonnegative flag varieties
• The bounded complex of a uniform affine oriented matroid is a ball
• Supersolvable lattices
• Positroid varieties: juggling and geometry
• Negative Correlation in Graphs and Matroids
• Shellable and Cohen-Macaulay Partially Ordered Sets
• Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra
• The $m=1$ Amplituhedron and Cyclic Hyperplane Arrangements
• Eulerian Numbers
• Shelling totally nonnegative flag varieties
• The totally nonnegative Grassmannian is a ball
• Sign variation and descents
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