Modifications Preserving Hyperbolicity of Link Complements

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

doi:10.2140/agt.2023.23.2157

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arXiv · 2007.01739

Modifications Preserving Hyperbolicity of Link Complements

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

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Abstract

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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Colin Adams, William H. Meeks III, Álvaro K. Ramos. 2020-07-03. Modifications Preserving Hyperbolicity of Link Complements. https://doi.org/10.2140/agt.2023.23.2157

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