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…
Algebraic cobordism rings of wonderful varieties and matroids
Raj Gandhi, Ethan Partida
We give two combinatorial presentations for the algebraic cobordism ring of the toric variety of the Bergman fan of any loopless matroid . As a consequence of our prese…
Hodge theory for combinatorial projective bundles
Matt Larson, Ethan Partida
We prove the Hard Lefschetz theorem and Hodge-Riemann relations for certain rings which resemble the cohomology rings of projectivizations of globally generated vector bundles over…
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…