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math.CO2026
Vertex Posets, Monotone Path Polytopes, and Chow Polynomials
Mateusz Michałek, Leonid Monin, Botong Wang
Let be a convex polytope and let be a linear functional which is nonconstant on every edge of . The induced acyclic orientation determines positive…
math.CO2020
Triangulations and Canonical Forms of Amplituhedra: a fiber-based approach beyond polytopes
Fatemeh Mohammadi, Leonid Monin, Matteo Parisi
Any totally positive matrix induces a map from the positive Grassmannian to the Grassmannian , whose image is the amplituhe…