For k=m=2, the amplituhedron equals the intersection of Gr(2,4) with the exterior cyclic polytope C_{2,2,n}(Z), and its extendable convex dual is the twisted amplituhedron.
Convexity on Grassmann manifolds
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.CO 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Exterior Cyclic Polytopes and Convexity of Amplituhedra
For k=m=2, the amplituhedron equals the intersection of Gr(2,4) with the exterior cyclic polytope C_{2,2,n}(Z), and its extendable convex dual is the twisted amplituhedron.