F'elix G'elinas

activity

20212026

collaborators

5 papers

math.CO2026

Interval hypergraphic polytopes (or deformed associahedra), Tamari interval posets, and weeping willows

Jose Bastidas, Félix Gélinas, Vincent Pilaud +3

For a hypergraph $H$ on $[n]$ , the hypergraphic polytope $△_{H}$ is the Minkowski sum of the standard simplices $△_{H}$ for all $H \in H$ .…

math.CO2026

Lattice characterization of cyclic interval hypergraphic posets

Félix Gélinas, Yirong Yang

Hypergraphic polytopes $Δ_{H}$ arise as Minkowski sums of simplices indexed by the hyperedges of a hypergraph $H$ . Orienting the $1$ -skeleton of such a polytope b…

math.CO2025

Source characterization of the hypergraphic posets

Félix Gélinas

For a hypergraph $H$ on $[n]$ , the hypergraphic poset $P_{H}$ is the transitive closure of the oriented $1$ -skeleton of the hypergraphic polytope $Δ_{H}$ . In…

math.CO2025

Ornamentation lattices and intreeval hypergraphic lattices

Antoine Abram, Jose Bastidas, Félix Gélinas +2

Given a directed graph $D$ with transitive closure $tc (D)$ and path hypergraph $P (D)$ , we study the connections between the (acyclic) reorientation poset of…

math.GR2021

Cones and ping-pong in three dimensions

Gabriel Frieden, Félix Gélinas, Étienne Soucy

We study the hypergeometric group in $GL_{3} (C)$ with parameters $α = (\frac{1}{4}, \frac{1}{2}, \frac{3}{4})$ and $β = (0, 0, 0)$ . We give a new proof that this group is…