A space of cyclohedra

Mathematics – Quantum Algebra

Scientific paper

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18 pages, 18 figures, LaTex2e

Scientific paper

The real points of the Deligne-Knudsen-Mumford moduli space of marked points
on the sphere has a natural tiling by associahedra. We extend this idea to
create a moduli 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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