volume 29, issue 1, P61-75 2002
DOI: 10.1007/s00454-002-2810-8
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Abstract: The real points of the Deligne-Knudsen-Mumford moduli space M n 0 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.

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