32 citations · 72 across the 18 of their papers we have counts for
3 papers · 1 filter
Syntactic aspects of hypergraph polytopes
Pierre-Louis Curien, Jovana Obradovic, Jelena Ivanovic
This paper introduces an inductively defined tree notation for all the faces of polytopes arising from a simplex by truncations. This notation allows us to view inclusion of faces…
Categorified cyclic operads
Pierre-Louis Curien, Jovana Obradovic
In this paper, we introduce a notion of categorified cyclic operad for set-based cyclic operads with symmetries. Our categorification is obtained by relaxing defining axioms of cyc…
Coherent Presentations of Monoidal Categories
Pierre-Louis Curien, Samuel Mimram
Presentations of categories are a well-known algebraic tool to provide descriptions of categories by means of generators, for objects and morphisms, and relations on morphisms. We…