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Simplex, associahedron, and cyclohedron

1997/07/09 by Martin Markl, Markl, Martin
Agricultural and Biological Sciences · #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Fungal Plant Pathogen Control #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.alg-geom/9707009

openalex publication_date 1997/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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