Modifications Preserving Hyperbolicity of Link Complements
Geometric Topology
2023-08-02 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2007.01739,
title = {Modifications Preserving Hyperbolicity of Link Complements},
author = {Colin Adams and William H. Meeks and Álvaro K. Ramos},
journal= {arXiv preprint arXiv:2007.01739},
year = {2023}
}
Comments
Added author addresses and reference ArXiv number