J Austral Math Soc Ser A 55 pp116--131, 1993.

Quasi-Fuchsian Surfaces in Hyperbolic Knot Complements

Colin C. Adams and Alan W. Reid

(Received 8 August 1992)

Abstract

Examples 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 totoidally alternating.

1991 AMS Subject Classification: 57N10, 57M50

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Authors

Colin C. Adams: Department of Mathematics, Williams College, Williamstown, MA 01267, USA.
mailto:adams@cc.williams.edu
Alan W. Reid: Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, CA 94720, USA.
mailto:reid@msri.org

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Last Modified: Fri Jan 10 8:53:40 2003