Author:
Adams Colin C.,Reid Alan W.
Abstract
AbstractExamples of hyperbolic knots in S3 are given such that their complements contain quasi-Fuchsian non-Fuchsian surfaces. In particular, this proves that there are hyperbolic knots that are not toroidally alternating.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference20 articles.
1. Incompressibility of surfaces in surgered 3-manifolds
2. SNAPPEA: The Week's hyperbolic 3-manifolds program;Adams;Notices Amer. Math. Soc.,1990
3. Volumes of hyperbolic three-manifolds
Cited by
15 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. Exceptional surgeries in 3-manifolds;Proceedings of the American Mathematical Society, Series B;2022-08-23
2. Counting essential surfaces in 3-manifolds;Inventiones mathematicae;2022-01-25
3. An Inquiry into the Practice of Proving in Low-Dimensional Topology;Boston Studies in the Philosophy and History of Science;2014-11-06
4. Closed quasi-Fuchsian surfaces in hyperbolic knot complements;Geometry & Topology;2008-08-08
5. Totally geodesic surfaces and homology;Algebraic & Geometric Topology;2006-09-25