Authors introduce anti-strictness for hypergraphs to define natural (-1)-tridendriform algebras on associated polytopes, extending prior strict-case constructions to include cyclohedra while matching on overlaps.
Simplex, associahedron, and cyclohedron
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abstract
The aim of the paper is to give an `elementary' introduction to the theory of modules over operads and discuss three prominent examples of these objects - simplex, associahedron (= the Stasheff polyhedron) and cyclohedron (= the compactification of the space of configurations of points on the circle). Keywords: (right) module over an operad, module associated to a cyclic operad, Koszul module over an operad.
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math.CO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Tridendriform algebras on hypergraph polytopes, the other way around
Authors introduce anti-strictness for hypergraphs to define natural (-1)-tridendriform algebras on associated polytopes, extending prior strict-case constructions to include cyclohedra while matching on overlaps.