Baader, Sebastian; Blair, Ryan; Kjuchukova, Alexandra (2021). Coxeter groups and meridional rank of links. Mathematische Annalen, 379(3-4), pp. 1533-1551. Springer 10.1007/s00208-020-02124-z
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Baader2021_Article_CoxeterGroupsAndMeridionalRank.pdf - Published Version Available under License Creative Commons: Attribution (CC-BY). Download (480kB) | Preview |
We prove the meridional rank conjecture for twisted links and arborescent links associated to bipartite trees with even weights. These links are substantial generalizations of pretzels and two-bridge links, respectively. Lower bounds on meridional rank are obtained via Coxeter quotients of the groups of link complements. Matching upper bounds on bridge number are found using the Wirtinger numbers of link diagrams, a combinatorial tool developed by the authors.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Baader, Sebastian |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0025-5831 |
Publisher: |
Springer |
Funders: |
[42] Schweizerischer Nationalfonds |
Language: |
English |
Submitter: |
Sebastiano Don |
Date Deposited: |
04 Feb 2022 15:12 |
Last Modified: |
05 Dec 2022 16:04 |
Publisher DOI: |
10.1007/s00208-020-02124-z |
BORIS DOI: |
10.48350/164645 |
URI: |
https://boris.unibe.ch/id/eprint/164645 |
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