4 papers · 1 filter
Line Shellings of Geometric Lattices
Spencer Backman, Galen Dorpalen-Barry, Anastasia Nathanson +2
Inspired by Bruggesser-Mani's line shellings of polytopes, we introduce line shellings for the lattice of flats of a matroid: given a normal complex for a Bergman fan of a matroid…
On the topology of conormal complexes and posets of matroids
Anastasia Nathanson, Ethan Partida
We introduce the poset of biflats of a matroid , a Lagrangian analog of the lattice of flats of , and study the topology of its order complex, which we call the biflats compl…
Chow Rings of Matroids as Permutation Representations
Robert Angarone, Anastasia Nathanson, Victor Reiner
Given a matroid and a group of its matroid automorphisms, we study the induced group action on the Chow ring of the matroid. This turns out to always be a permutation action. Work…
Tropical fans and normal complexes
Anastasia Nathanson, Dustin Ross
Associated to any divisor in the Chow ring of a simplicial tropical fan, we construct a family of polytopal complexes, called normal complexes, which we propose as an analogue of t…