Coxeter groups and meridional rank of links

被引：0

作者：

Sebastian Baader

Ryan Blair

Alexandra Kjuchukova

机构：

[1] Universität Bern,Mathematisches Institut

[2] California State University,undefined

[3] Long Beach 1250 Bellflower Blvd,undefined

[4] Max Planck Institut for Mathematik,undefined

来源：

Mathematische Annalen | 2021年 / 379卷

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摘要：

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.

引用

页码：1533 / 1551

页数：18

共 50 条

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