Abstract
We show that every hyperbolic knot complement contains a closed quasi-Fuchsian surface.
Citation
Joseph D Masters. Xingru Zhang. "Closed quasi-Fuchsian surfaces in hyperbolic knot complements." Geom. Topol. 12 (4) 2095 - 2171, 2008. https://doi.org/10.2140/gt.2008.12.2095
Information
Received: 28 March 2007; Revised: 1 February 2008; Accepted: 26 March 2008; Published: 2008
First available in Project Euclid: 20 December 2017
zbMATH: 1156.57014
MathSciNet: MR2431017
Digital Object Identifier: 10.2140/gt.2008.12.2095
Subjects:
Primary:
57N35
Secondary:
57M25
Keywords:
$\pi_1$–injective surface
,
hyperbolic manifold
,
quasi-Fuchsian surface
Rights: Copyright © 2008 Mathematical Sciences Publishers