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math.CO2017
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…
math.CT2017
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…