|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
On unknotting tunnel
systems of satellite chain links
Darlan Girão, João Miguel Nogueira and António Salgueiro |
|
Algebraic & Geometric Topology 22 (2022) 307–323
|
Abstract |
|
We prove that the tunnel number of a satellite chain link with a number of components higher than or equal to twice the bridge number of the companion is as small as possible among links with the same number of components. We prove this result to be sharp for satellite chain links over a –bridge knot. |
|
Dedicated to the memory of Darlan Girão |
Keywords
chain link, tunnel number, bridge number, rank versus genus
conjecture
|
Mathematical Subject Classification
Primary: 57K10
Secondary: 57K32
|
References |
Publication
Received: 6 May 2020
Revised: 27 November 2020
Accepted: 21 February 2021
Published: 26 April 2022
|
Authors |
| Darlan Girão | |
| Department of Mathematics Universidade Federal do Ceará Fortaleza, CE Brazil |
|
| João Miguel Nogueira | |
| CMUC, Department of
Mathematics University of Coimbra Coimbra Portugal |
|
| António Salgueiro | |
| CMUC, Department of
Mathematics University of Coimbra Coimbra Portugal |
|
