The bridge number of arborescent links with many twigs

Sebastian Baader; Ryan Blair; Alexandra Kjuchukova; Filip Misev

doi:10.2140/agt.2023.23.75

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arXiv · 2008.00763

The bridge number of arborescent links with many twigs

Sebastian Baader·Ryan Blair·Alexandra Kjuchukova·Filip Misev

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Abstract

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.

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Sebastian Baader, Ryan Blair, Alexandra Kjuchukova, Filip Misev. 2020-08-03. The bridge number of arborescent links with many twigs. https://doi.org/10.2140/agt.2023.23.75

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