5 papers · 1 filter
The Chow Polynomial of the Noncrossing Partition Lattice
Joseph Chun, Natsuka Hayashida, Ethan Partida +1
We prove that the Chow polynomial of the noncrossing partition lattice is equal to the descent generating function of tieless parking functions. As a consequence, we obtain new res…
Graded Ehrhart Theory of Unimodular Zonotopes
Colin Crowley, Ethan Partida
Graded Ehrhart theory is a new -analogue of Ehrhart theory based on the orbit harmonics method. We study the graded Ehrhart theory of unimodular zonotopes from a matroid-theoret…
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…
Shifted and Threshold Matroids
Ethan Partida
We characterize the class of threshold matroids by the structure of their defining bases. We also give an example of a shifted matroid which is not threshold, answering a question…
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…