54 citations · 220 across the 27 of their papers we have counts for
35 papers
The Poincaré-extended ab-index
Galen Dorpalen-Barry, Joshua Maglione, Christian Stump
Motivated by a conjecture concerning Igusa local zeta functions for intersection posets of hyperplane arrangements, we introduce and study the Poincaré-extended ab-index, which gen…
Shi arrangements restricted to Weyl cones
Galen Dorpalen-Barry, Christian Stump
We consider the restrictions of Shi arrangements to Weyl cones, their relations to antichains in the root poset, and their intersection posets. For any Weyl cone, we provide biject…
Central limit theorems for generalized descents and generalized inversions in finite root systems
Kathrin Meier, Christian Stump
We consider generalized inversions and descents in finite Weyl groups. We establish Coxeter-theoretic properties of indicator random variables of positive roots such as the covaria…
Bruhat intervals, subword complexes and brick polyhedra for finite Coxeter groups
Dennis Jahn, Christian Stump
We study the interplay between the discrete geometry of Bruhat poset intervals and subword complexes of finite Coxeter systems. We establish connections between the cones generated…
Minkowski decompositions for generalized associahedra of acyclic type
Dennis Jahn, Robert Löwe, Christian Stump
We give an explicit subword complex description of the generators of the type cone of the g-vector fan of a finite type cluster algebra with acyclic initial seed. This yields in pa…
Standard complexes of matroids and lattice paths
Alexander Engström, Raman Sanyal, Christian Stump
Motivated by Gröbner basis theory for finite point configurations, we define and study the class of "standard complexes" associated to a matroid. Standard complexes are certain sub…