|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Modifications
preserving hyperbolicity of link complements
Colin Adams, William H Meeks III and Álvaro K Ramos |
|
Algebraic & Geometric Topology 23 (2023) 2157–2190
|
 |
Abstract |
|
Given a link in a –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 –sphere and other –manifolds. |
Keywords
hyperbolic 3–manifold, hyperbolic link complement, chain
move, switch move
|
Mathematical Subject Classification
Primary: 57K10, 57K32
|
References |
Publication
Received: 30 December 2020
Revised: 3 February 2022
Accepted: 9 March 2022
Published: 25 July 2023
|
Authors |
| Colin Adams | |
| Department of Mathematics Williams College Williamstown, MA United States |
|
| William H Meeks III | |
| Department of Mathematics and
Statistics University of Massachusetts Amherst, MA United States |
|
| Álvaro K Ramos | |
| Departamento de Matemática Pura e
Aplicada Universidade Federal do Rio Grande do Sul Porto Alegre Brazil |
|
| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
