80 citations · 254 across the 15 of their papers we have counts for
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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…
Cluster patterns in Landau and Leading Singularities via the Amplituhedron
Ömer Gürdoğan, Matteo Parisi
We advance the exploration of cluster-algebraic patterns in the building blocks of scattering amplitudes in super Yang-Mills theory. In particular we conjecture tha…
Positive Geometries and Differential Forms with Non-Logarithmic Singularities I
Paolo Benincasa, Matteo Parisi
Positive geometries encode the physics of scattering amplitudes in flat space-time and the wavefunction of the universe in cosmology for a large class of models. Their unique canon…
The positive tropical Grassmannian, the hypersimplex, and the m=2 amplituhedron
Tomasz Lukowski, Matteo Parisi, Lauren K. Williams
The study of the moment map from the Grassmannian to the hypersimplex, and the relation between torus orbits and matroid polytopes, dates back to the foundational 1987 work of Gelf…