35 citations · 91 across the 16 of their papers we have counts for
5 papers · 1 filter
Mixed volumes of normal complexes
Lauren Nowak, Patrick O'Melveny, Dustin Ross
Normal complexes are orthogonal truncations of polyhedral fans. In this paper, we develop the study of mixed volumes for normal complexes. Our main result is a sufficiency conditio…
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…
Matroid psi classes
Jeshu Dastidar, Dustin Ross
Motivated by the intersection theory of moduli spaces of curves, we introduce psi classes in matroid Chow rings and prove a number of properties that naturally generalize propertie…
Topology of Z_3 equivariant Hilbert schemes
Deborah Castro, Dustin Ross
Motivated by work of Gusein-Zade, Luengo, and Melle-Hernández, we study a specific generating series of arm and leg statistics on partitions, which is known to compute the Poincaré…
The Loop Murnaghan-Nakayama Rule
Dustin Ross
We give a combinatorial proof of a natural generalization of the Murnaghan-Nakayama rule to loop Schur functions. We also define shifted loop Schur functions and prove that they sa…