Colorful associahedra and cyclohedra
نویسندگان
چکیده
منابع مشابه
Associahedra, cyclohedra and a topological solution to the A∞ Deligne conjecture
We give a topological solution to the A∞ Deligne conjecture using associahedra and cyclohedra. To this end, we construct three CW complexes whose cells are indexed by products of polytopes. Giving new explicit realizations of the polytopes in terms of different types of trees, we are able to show that the CW complexes are cell models for the little discs. The cellular chains of one complex in p...
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In this note we introduce an action of the module of cyclohedra on the free loop space. We will then discuss how this action can be used in an appropriate recognition principle in the same manner as the action of Stasheff’s associahedra can be used to recognize based loop spaces. We will also interpret one result of R.L. Cohen as an approximation theorem, in the spirit of Beck and May, for free...
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The real points of the Deligne-Knudsen-Mumford moduli space M0 of marked points on the sphere have a natural tiling by associahedra. We extend this idea to construct an aspherical space tiled by cyclohedra. We explore the structure of this space, coming from blow-ups of hyperplane arrangements, as well as discuss possibilities of its role in knot theory and mathematical physics. To the memory o...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2015
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2014.09.001