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arxiv: alg-geom/9707009 · v1 · submitted 1997-07-09 · alg-geom · hep-th· math.AG· math.QA· q-alg

Simplex, associahedron, and cyclohedron

classification alg-geom hep-thmath.AGmath.QAq-alg
keywords moduleoperadassociahedroncyclohedronsimplexassociatedcirclecompactification
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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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