On unknotting tunnel systems of satellite chain links (Preprint)

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Type: Preprint
National /International: International
Title: On unknotting tunnel systems of satellite chain links
Publication Date: 2018-12-28
Authors: - Darlan Girão
- João Miguel Nogueira
- António Manuel Salgueiro
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. We also observe that the links in the main result satisfy the genus versus rank conjecture.
Institution: DMUC 18-59
Online version: http://www.mat.uc.pt...prints/eng_2018.html
Download: Not available
 
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