论文标题

修改保留链接补充的双曲线

Modifications Preserving Hyperbolicity of Link Complements

论文作者

Adams, Colin, Meeks III, William H., Ramos, Álvaro K.

论文摘要

给定一个3个manifold中的链接,使补体是双曲线的,我们为链路提供了两个修改,称为链移动和开关移动,即保留补体的双曲线,只有相对较少的歧管链接对异常,也分类了。这些修饰可在3个球体和其他3个manifolds中的已知双曲线链路数量大幅增加。

Given a link in a 3-manifold such that the complement is hyperbolic, we provide two modifications to the link, called the chain move and the switch move, that preserve hyperbolicity of the complement, with only a relatively small number of manifold-link pair exceptions, which are also classified. These modifications provide a substantial increase in the number of known hyperbolic links in the 3-sphere and other 3-manifolds.

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