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Closed quasi-Fuchsian surfaces in hyperbolic knot complements

Joseph D Masters and Xingru Zhang

Geometry & Topology 12 (2008) 2095–2171
Abstract

We show that every hyperbolic knot complement contains a closed quasi-Fuchsian surface.

Keywords
hyperbolic manifold, quasi-Fuchsian surface, $\pi_1$–injective surface
Mathematical Subject Classification 2000
Primary: 57N35
Secondary: 57M25
References
Publication
Received: 28 March 2007
Revised: 1 February 2008
Accepted: 26 March 2008
Published: 8 August 2008
Proposed: Dave Gabai
Seconded: Jean-Pierre Otal, Walter Neumann
Authors
Joseph D Masters
Mathematics Department
SUNY at Buffalo
Buffalo
NY 14290
USA
Xingru Zhang
Mathematics Department
SUNY at Buffalo
Buffalo
NY 14290
USA