60 citations · 768 across the 56 of their papers we have counts for
6 papers · 1 filter
Quotientopes
Vincent Pilaud, Francisco Santos
For any lattice congruence of the weak order on , N. Reading proved that glueing together the cones of the braid fan that belong to the same congruence class define…
A -Tilting Approach to Dissections of Polygons
Vincent Pilaud, Pierre-Guy Plamondon, Salvatore Stella
We show that any accordion complex associated to a dissection of a convex polygon is isomorphic to the support -tilting simplicial complex of an explicit finite dimensional alge…
Non-kissing complexes and tau-tilting for gentle algebras
Yann Palu, Vincent Pilaud, Pierre-Guy Plamondon
We interpret the support -tilting complex of any gentle bound quiver as the non-kissing complex of walks on its blossoming quiver. Particularly relevant examples were previously…
Geometric realizations of the accordion complex of a dissection
Thibault Manneville, Vincent Pilaud
Consider points on the unit circle and a reference dissection of the convex hull of the odd points. The accordion complex of is the simpl…
Polytopal realizations of finite type -vector fans
Christophe Hohlweg, Vincent Pilaud, Salvatore Stella
This paper shows the polytopality of any finite type -vector fan, acyclic or not. In fact, for any finite Dynkin type , we construct a universal associahedron $\math…
The weak order on integer posets
Grégory Chatel, Vincent Pilaud, Viviane Pons
We explore lattice structures on integer binary relations (i.e. binary relations on the set for a fixed integer ) and on integer posets (i.e. partial orders…