4 papers · 1 filter
Two classes of posets with real-rooted chain polynomials
Christos A. Athanasiadis, Theo Douvropoulos, Katerina Kalampogia-Evangelinou
The coefficients of the chain polynomial of a finite poset enumerate chains in the poset by their number of elements. It has been a challenging open problem to determine which pose…
Homology character of the parabolic coset poset
Theo Douvropoulos, Matthieu Josuat-Vergès
Motivated by the analogy with the Coxeter complex on one side, and parking functions on the other side, we study the poset of parabolic cosets in a finite Coxeter group. We show th…
Cluster parking functions
Theo Douvropoulos, Matthieu Josuat-Vergès
The cluster complex on one hand, parking functions on the other hand, are two combinatorial (po)sets that can be associated to a finite real reflection group. Cluster parking funct…
Lyashko-Looijenga morphisms and primitive factorizations of the Coxeter element
Theo Douvropoulos
In a seminal work, Bessis gave a geometric interpretation of the noncrossing lattice associated to a well-generated complex reflection group . Chief component of this wa…