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Quasi-Fuchsian surfaces in hyperbolic knot complements

Part of: Low-dimensional topology Topological manifolds

Published online by Cambridge University Press:  09 April 2009

Colin C. Adams  and
Alan W. Reid
Colin C. Adams
Affiliation:
Department of Mathematics, Williams College, Williamstown, MA 01267, USA, e-mail: adams@.williams.edu
Alan W. Reid
Affiliation:
Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, CA 94720, USA, email: reid@msri.org
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Abstract

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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 toroidally alternating.

MSC classification

Secondary: 57N10: Topology of general $3$-manifolds 57M50: Geometric structures on low-dimensional manifolds
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 55 , Issue 1 , August 1993 , pp. 116 - 131
Copyright
Copyright © Australian Mathematical Society 1993

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