3 citations · 3 across the 10 of their papers we have counts for
16 papers · 1 filter
Persistent Subdivisions of Coxeter Permutahedra
Timothy Blanton, Jesús A. De Loera, Melissa Sherman-Bennett
We investigate the realizations of Coxeter permutahedra which are also Coxeter matroid polytopes; these are polytopes of the form where is a…
A dimer view on Fox's trapezoidal conjecture
Karola Mészáros, Melissa Sherman-Bennett, Alexander Vidinas
Fox's conjecture (1962) states that the sequence of absolute values of the coefficients of the Alexander polynomial of alternating links is trapezoidal. While the conjecture remain…
Permutahedron Triangulations via Total Linear Stability and the Dual Braid Group
Colin Defant, Melissa Sherman-Bennett, Nathan Williams
For each finite Coxeter group and each standard Coxeter element of , we construct a triangulation of the -permutahedron. For particular realizations of the -permutahed…
Plabic Tangles and Cluster Promotion Maps
Chaim Even-Zohar, Matteo Parisi, Melissa Sherman-Bennett +2
Inspired by the BCFW recurrence for tilings of the amplituhedron, we introduce the general framework of `plabic tangles' that utilizes plabic graphs to define rational maps between…
BCFW tilings and cluster adjacency for the amplituhedron
Chaim Even-Zohar, Tsviqa Lakrec, Matteo Parisi +3
In 2005, Britto, Cachazo, Feng and Witten gave a recurrence (now known as the BCFW recurrence) for computing scattering amplitudes in N=4 super Yang Mills theory. Arkani-Hamed and…
Dimer face polynomials in knot theory and cluster algebras
Karola Mészáros, Gregg Musiker, Melissa Sherman-Bennett +1
The set of perfect matchings of a connected bipartite plane graph has the structure of a distributive lattice, as shown by Propp, where the partial order is induced by the heig…