32 citations · 72 across the 18 of their papers we have counts for
21 papers
Generalised flip order on the faces of nestohedra
Pierre-Louis Curien, Bérénice Delcroix-Oger, Jovana Obradović
Classical shuffle products on permutations and binary planar rooted trees (i.e., on the vertices of permutohedra and associahedra) admit descriptions in terms of intervals in the w…
Tridendriform algebras on hypergraph polytopes, the other way around
Pierre-Louis Curien, Bérénice Delcroix-Oger, Jovana Obradović
Hypergraph polytopes (or nestohedra) form a broad class of polytopes obtained by truncating faces of a simplex according to a hypergraph. In earlier work, the authors constructed q…
Term rewriting on nestohedra
Pierre-Louis Curien, Guillaume Laplante-Anfossi
We define term rewriting systems on the vertices and faces of nestohedra, and show that the former are confluent and terminating. While the associated posets on vertices generalize…
Topological proofs of categorical coherence
Pierre-Louis Curien, Guillaume Laplante-Anfossi
We give a short topological proof of coherence for categorified non-symmetric operads by using the fact that the diagrams involved form the 1-skeleton of simply connected CW comple…
Rigidification of cubical quasi-categories
Pierre-Louis Curien, Muriel Livernet, Gabriel Saadia
We construct a cubical analogue of the rigidification functor from quasi-categories to simplicial categories present in the work of Joyal and Lurie. We define a functor from the ca…
Tridendriform algebras on hypergraph polytopes
Pierre-Louis Curien, Bérénice Delcroix-Oger, Jovana Obradović
We extend the works of Loday-Ronco and Burgunder-Ronco on the tridendriform decomposition of the shuffle product on the faces of associahedra and permutohedra, to other families of…