Hyperbolic knots given by positive braids with at least two full twists-Reference-Cited by-同舟云学术

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Hyperbolic knots given by positive braids with at least two full twists

Published:2022-06-30 Issue: Volume: Page:
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

de Paiva Thiago

Abstract

We give some conditions on positive braids with at least two full twists that ensure their closure is a hyperbolic knot, with applications to the geometric classification of T-links, arising from dynamics, and twisted torus knots.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/0000-000-00/S0002-9939-2022-16035-3/S0002-9939-2022-16035-3.pdf

Reference18 articles.

1. A new twist on Lorenz links;Birman, Joan;J. Topol.,2009

2. Annals of Mathematics Studies, No. 82;Birman, Joan S.,1974

3. Studying links via closed braids. I. A finiteness theorem;Birman, Joan S.;Pacific J. Math.,1992

4. Special positions for essential tori in link complements;Birman, Joan S.;Topology,1994

5. Thiago de Paiva, Unexpected essential surfaces among exteriors of twisted torus knots, arXiv:2110.09873, to appear in Algebr. Geom. Topol., 2021.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Torus Lorenz links obtained by full twists along torus links;Proceedings of the American Mathematical Society;2023-03-14

2. Hyperbolic twisted torus links;Geometriae Dedicata;2023-02-19

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