Coxeter groups and meridional rank of links-Reference-Cited by-同舟云学术

Coxeter groups and meridional rank of links

Published:2020-12-23 Issue:3-4 Volume:379 Page:1533-1551
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Baader Sebastian,Blair Ryan,Kjuchukova Alexandra

Abstract

AbstractWe 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.

Funder

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00208-020-02124-z.pdf

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