Geodesic
The bridge number of arborescent links with many twigs
Baader, Sebastian1 ; Blair, Ryan2 ; Kjuchukova, Alexandra3 ; Misev, Filip4
1 Mathematisches Institut, Universität Bern, Bern, Switzerland
2 Department of Mathematics and Statistics, California State University, Long Beach, Long Beach, CA, United States
3 Department of Mathematics, University of Notre Dame, Notre Dame, IN, United States
4 Fakultät für Mathematik, Universität Regensburg, Regensburg, Germany
Algebraic and Geometric Topology, Tome 23 (2023) no. 1, pp. 75-85

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2023.23.75
Keywords: bridge number, meridional rank, arborescent links, Coxeter quotients

Baader, Sebastian 1 ; Blair, Ryan 2 ; Kjuchukova, Alexandra 3 ; Misev, Filip 4

1 Mathematisches Institut, Universität Bern, Bern, Switzerland
2 Department of Mathematics and Statistics, California State University, Long Beach, Long Beach, CA, United States
3 Department of Mathematics, University of Notre Dame, Notre Dame, IN, United States
4 Fakultät für Mathematik, Universität Regensburg, Regensburg, Germany 
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Baader, Sebastian; Blair, Ryan; Kjuchukova, Alexandra; Misev, Filip. The bridge number of arborescent links with many twigs. Algebraic and Geometric Topology, Tome 23 (2023) no. 1, pp. 75-85. doi: 10.2140/agt.2023.23.75

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