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Coxeter groups and meridional rank of links

MPS-Authors
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Baader,  Sebastian
Max Planck Institute for Mathematics, Max Planck Society;

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Kjuchukova,  Alexandra
Max Planck Institute for Mathematics, Max Planck Society;

External Ressource
Fulltext (public)

arXiv:1907.02982.pdf
(Preprint), 397KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Baader, S., Blair, R., & Kjuchukova, A. (in press). Coxeter groups and meridional rank of links. Mathematische Annalen, Early view Online - Print pending. doi:10.1007/s00208-020-02124-z.


Cite as: http://hdl.handle.net/21.11116/0000-0007-D9FB-A
Abstract
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.