Coxeter groups and meridional rank of links

Sebastian Baader; Ryan Blair; Alexandra Kjuchukova

doi:10.1007/s00208-020-02124-z

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arXiv · 1907.02982

Coxeter groups and meridional rank of links

Sebastian Baader·Ryan Blair·Alexandra Kjuchukova

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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.

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BibTeX RIS

Sebastian Baader, Ryan Blair, Alexandra Kjuchukova. 2019-07-05. Coxeter groups and meridional rank of links. https://doi.org/10.1007/s00208-020-02124-z

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