Vincent Pilaud

collaborators

3 papers

math.CO2026

Refined product formulas for Tamari intervals

Alin Bostan, FrÃ©dÃ©ric Chyzak, Vincent Pilaud

We provide short product formulas for the $f$ -vectors of the canonical complexes of the Tamari lattices and of the cellular diagonals of the associahedra.

math.CO2025

Lattices of acyclic pipe dreams

Nantel Bergeron, NoÃ©mie Cartier, Cesar Ceballos +1

We show that for any permutation $I ¨ $ , the increasing flip graph on acyclic pipe dreams with exiting permutation $I ¨ $ is a lattice quotient of the interval $[e, I ¨ ]$ of the weak ord…

math.CO2025

Hochschild polytopes

Vincent Pilaud, Daria Poliakova

The $(m, n)$ -multiplihedron is a polytope whose faces correspond to $m$ -painted $n$ -trees, and whose oriented skeleton is the Hasse diagram of the rotation lattice on binary $m$ -pai…