English

Simplex, associahedron, and cyclohedron

alg-geom 2008-02-03 v1 High Energy Physics - Theory Algebraic Geometry Quantum Algebra q-alg

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.

Keywords

Cite

@article{arxiv.alg-geom/9707009,
  title  = {Simplex, associahedron, and cyclohedron},
  author = {Martin Markl},
  journal= {arXiv preprint arXiv:alg-geom/9707009},
  year   = {2008}
}

Comments

42 pages, LaTeX, article 12pt + leqno style

R2 v1 2026-07-22T07:42:43.559Z