506 citations · 1.1k across the 47 of their papers we have counts for
52 papers
Kostka numbers and Fourier duality
Michael Finkelberg, Alexander Postnikov, Vadim Schechtman
We relate the Fourier transform of perverse sheaves smooth along the coordinate hyperplane configuration in a complex vector space to the Deligne-Lusztig duality of unipotent repre…
Repeatable patterns and the maximum multiplicity of a generator in a reduced word
Christian Gaetz, Yibo Gao, Pakawut Jiradilok +2
We study the maximum multiplicity of a simple transposition in a reduced word for the longest permutation , a…
Polypositroids
Thomas Lam, Alexander Postnikov
We initiate the study of a class of polytopes, which we coin polypositroids, defined to be those polytopes that are simultaneously generalized permutohedra (or polymatroids) and al…
Universal Tutte polynomial
Olivier Bernardi, Tamas Kalman, Alex Postnikov
The Tutte polynomial is a well-studied invariant of graphs and matroids. We first extend the Tutte polynomial from graphs to hypergraphs, and more generally from matroids to polyma…
Higher secondary polytopes and regular plabic graphs
Pavel Galashin, Alexander Postnikov, Lauren Williams
Given a configuration of points in , we introduce the higher secondary polytopes , which have the property that agrees…
Coxeter submodular functions and deformations of Coxeter permutahedra
Federico Ardila, Federico Castillo, Christopher Eur +1
We describe the cone of deformations of a Coxeter permutahedron, or equivalently, the nef cone of the toric variety associated to a Coxeter complex. This family of polytopes contai…