50 citations · 181 across the 22 of their papers we have counts for
5 papers · 1 filter
-Algebra and Scattering Amplitudes
Freddy Cachazo, Nick Early, Alfredo Guevara +1
In this paper we study an algebra that naturally combines two familiar operations in scattering amplitudes: computations of volumes of polytopes using triangulations and constructi…
Honeycomb Tessellations and Graded Permutohedral Blades
Nick Early
This paper investigates enumerative aspects of permutohedral blades, which provide a generalization of the notion of the tropical hyperplane arrangement. Blade provide the combinat…
On configuration spaces and Whitehouse's lifts of the Eulerian representations
Nick Early, Victor Reiner
S. Whitehouse's lifts of the Eulerian representations of to are reinterpreted, topologically and ring-theoretically, building on the first author's work on A. Ocnea…
Generalized permutohedra in the kinematic space
Nick Early
In this note, we study the permutohedral geometry of the poles of a certain differential form introduced in recent work of Arkani-Hamed, Bai, He and Yan. There it was observed that…
Canonical Bases for Permutohedral Plates
Nick Early
We study three finite-dimensional quotient vector spaces constructed from the linear span of the set of characteristic functions of permutohedral cones by imposing two kinds of con…