On unknotting tunnel systems of satellite chain links
Geometric Topology
2021-04-21 v1
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 2-bridge knot.
Cite
@article{arxiv.2104.09861,
title = {On unknotting tunnel systems of satellite chain links},
author = {Darlan Girão and João M. Nogueira and António Salgueiro},
journal= {arXiv preprint arXiv:2104.09861},
year = {2021}
}
Comments
16 pages, 14 figures; To appear in Algebraic and Geometric Topology