The bridge number of arborescent links with many twigs

Autor: Baader, Sebastian, Blair, Ryan, Kjuchukova, Alexandra, Misev, Filip
Rok vydání: 2020
Předmět:
Zdroj: Algebr. Geom. Topol. 23 (2023) 75-85
Druh dokumentu: Working Paper
DOI: 10.2140/agt.2023.23.75
Popis: We prove the meridional rank conjecture for arborescent links associated to plane trees with the following property: all branching points carry a straight branch to at least three leaves. The proof involves an upper bound on the bridge number in terms of the maximal number of link components of the underlying tree, valid for all arborescent links.
Comment: 10 pages, 12 figures, 0 footnotes
Databáze: arXiv