标题： 纽结补集分解为棱柱 显示英文标题

标题： Knot complements decomposing into prisms

摘要： 我们描述了 $\mathbb{S}^3$中的四个双曲纽结补集，每个补集都覆盖一个棱柱轨道空间：即 $\mathbb{H}^3$对由一个具有三角棱柱组合类型的多面体的面反射生成的离散群作用的商。 棱柱轨道空间是刚性尖点的，并包含紧致的、完全测地的双曲三角形子轨道空间；因此，覆盖它们的纽结补集具有隐藏对称性，并包含闭合的、嵌入的、完全测地的曲面。 显示英文摘要

摘要： We describe four hyperbolic knot complements in $\mathbb{S}^3$, each of which covers a prism orbifold: the quotient of $\mathbb{H}^3$ by the action of a discrete group generated by reflections in the faces of a polyhedron that has the combinatorial type of a triangular prism. The prism orbifolds are rigid-cusped and contain compact, totally geodesic hyperbolic triangle sub-orbifolds; as a result, the knot complements covering them have hidden symmetries and contain closed, embedded, totally geodesic surfaces.