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The bridge number of
arborescent links with many twigs
Sebastian Baader, Ryan Blair, Alexandra Kjuchukova and Filip Misev |
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Algebraic & Geometric Topology 23 (2023) 75–85
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Abstract |
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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 obtaining an upper bound on the bridge number in terms of the maximal number of link components of the underlying tree, which is valid for all arborescent links. |
Keywords
bridge number, meridional rank, arborescent links, Coxeter
quotients
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Mathematical Subject Classification
Primary: 57K10
Secondary: 20F55
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References |
Publication
Received: 26 August 2020
Revised: 28 July 2021
Accepted: 14 October 2021
Published: 27 March 2023
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Authors |
| Sebastian Baader | |
| Mathematisches Institut Universität Bern Bern Switzerland |
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| Ryan Blair | |
| Department of Mathematics and
Statistics California State University, Long Beach Long Beach, CA United States |
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| Alexandra Kjuchukova | |
| Department of Mathematics University of Notre Dame Notre Dame, IN United States |
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| Filip Misev | |
| Fakultät für Mathematik Universität Regensburg Regensburg Germany |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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