Coxeter groups and meridional rank of links

被引：5

作者：

Baader, Sebastian ^{[1
]}

Blair, Ryan ^{[2
]}

Kjuchukova, Alexandra ^{[3
]}

机构：

[1] Univ Bern, Math Inst, Sidlerstr 5, CH-3012 Bern, Switzerland

[2] Calif State Univ Long Beach, 1250 Bellflower Blvd, Long Beach, CA 90840 USA

[3] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

来源：

MATHEMATISCHE ANNALEN | 2021年 / 379卷 / 3-4期

关键词：

BRIDGE NUMBER; GENERATORS; VOLUME; KNOTS;

D O I：

10.1007/s00208-020-02124-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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：19

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