6 papers
Noncrossing Duality and the Geometry of Positive Tropical Linear Spaces
Nick Early, Thomas Lam
While the positive Grassmannian is deeply understood through the rich combinatorics of plabic graphs and positroid cells, its tropical counterpart, the positive tropical Grassmanni…
Scaffolds for Higher Tropical Grassmannians: Foundations
Nick Early, Thomas Lam
Scaffolds are the one-dimensional skeleta of high-dimensional flag simplicial complexes of nonpositive curvature. They generalize the phylogenetic trees of Trop G(2,n) to arbitrary…
When alcoved polytopes add
Nick Early, Lukas Kühne, Leonid Monin
Alcoved polytopes are characterized by the property that all facet normal directions are parallel to the roots . Unlike other prominent families of polytopes, like general…
The Chirotropical Grassmannian
Dario Antolini, Nick Early
Recent developments in particle physics have revealed deep connections between scattering amplitudes and tropical geometry. From the heart of this relationship emerged the chirotro…
Minimal Kinematics on
Nick Early, Anaëlle Pfister, Bernd Sturmfels
Minimal kinematics identifies likelihood degenerations where the critical points are given by rational formulas. These rest on the Horn uniformization of Kapranov-Huh. We character…
Moduli Space Tilings and Lie-Theoretic Color Factors
Nick Early
A detailed understanding of the moduli spaces of points in projective space is essential to the investigation of generalized biadjoint scalar amplitudes, as disc…