10 citations · 38 across the 15 of their papers we have counts for
15 papers
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…
Hurwitz numbers for reflection groups III: Uniform formulas
Theo Douvropoulos, Joel Brewster Lewis, Alejandro H. Morales
We give uniform formulas for the number of full reflection factorizations of a parabolic quasi-Coxeter element in a Weyl group or complex reflection group, generalizing the formula…
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…
Hurwitz numbers for reflection groups II: Parabolic quasi-Coxeter elements
Theo Douvropoulos, Joel Brewster Lewis, Alejandro H. Morales
We define parabolic quasi-Coxeter elements in well generated complex reflection groups. We characterize them in multiple natural ways, and we study two combinatorial objects associ…
Counting nearest faraway flats for Coxeter chambers
Theo Douvropoulos
In a finite Coxeter group and with two given conjugacy classes of parabolic subgroups and , we count those parabolic subgroups of in that are full support,…
The Generalized Cluster Complex: Refined Enumeration of Faces and Related Parking Spaces
Theo Douvropoulos, Matthieu Josuat-Vergès
The generalized cluster complex was introduced by Fomin and Reading, as a natural extension of the Fomin-Zelevinsky cluster complex coming from finite type cluster algebras. In thi…
In which it is proven that, for each parabolic quasi-Coxeter element in a finite real reflection group, the orbits of the Hurwitz action on its reflection factorizations are distinguished by the two obvious invariants
Theo Douvropoulos, Joel Brewster Lewis
We prove that two reflection factorizations of a parabolic quasi-Coxeter element in a finite Coxeter group belong to the same Hurwitz orbit if and only if they generate the same su…
Hurwitz numbers for reflection groups I: Generatingfunctionology
Theo Douvropoulos, Joel Brewster Lewis, Alejandro H. Morales
The classical Hurwitz numbers count the fixed-length transitive transposition factorizations of a permutation, with a remarkable product formula for the case of minimum length (gen…
Counting chains in the noncrossing partition lattice via the W-Laplacian
Guillaume Chapuy, Theo Douvropoulos
We give an elementary, case-free, Coxeter-theoretic derivation of the formula for the number of maximal chains in the noncrossing partition lattice of a real re…
Coxeter factorizations with generalized Jucys-Murphy weights and Matrix Tree theorems for reflection groups
Guillaume Chapuy, Theo Douvropoulos
We prove universal (case-free) formulas for the weighted enumeration of factorizations of Coxeter elements into products of reflections valid in any well-generated reflection group…
On enumerating factorizations in reflection groups
Theo Douvropoulos
We describe an approach, via Malle's permutation on the set of irreducible characters , that gives a uniform derivation of the Chapuy-Stump formula for the enume…
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…
The Hilbert scheme of 11 points in A^3 is irreducible
Theodosios Douvropoulos, Joachim Jelisiejew, Bernt Ivar Utstøl Nødland +1
We prove that the Hilbert scheme of 11 points on a smooth threefold is irreducible. In the course of the proof, we present several known and new techniques for producing curves on…
Simultaneous generic approximation by the iterates of the Cesaro operator
Theodosios Douvropoulos
We show that for the generic sequence (a) of elements in a subset A of a separable locally convex metrisable space V, the sequences [T^k(a)]_n, n=1,2,... are dense in the convex hu…