Cyclohedron

In geometry, the cyclohedron or Bott–Taubes polytope is a certain (n − 1)-dimensional polytope that is useful in studying knot invariants.

The configuration space of n distinct points on the circle S is an n-dimensional manifold, which can be compactified into a manifold with corners by allowing the points to approach each other. This compactification can be factored as $S^1 \times W_n$ , where W_n is the cyclohedron.

单词	Cyclohedron
释义	Cyclohedron 英语百科 Cyclohedron In geometry, the cyclohedron or Bott–Taubes polytope is a certain (n − 1)-dimensional polytope that is useful in studying knot invariants. The configuration space of n distinct points on the circle S is an n-dimensional manifold, which can be compactified into a manifold with corners by allowing the points to approach each other. This compactification can be factored as $S^1 \times W_n$ , where W_n is the cyclohedron.
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