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Quasi-Fuchsian Seifert surfaces

Quasi-Fuchsian Seifert surfaces Let $K \subset S^3$ be a non fibered knot with hyperbolic complement. Given a Seifert surface of minimal genus for $K$ , we prove that it corresponds to a quasi-Fuchsian group, by showing it has no accidental parabolics. In particular, this shows that any lift of the Seifert surface to the universal cover is a quasi-disk and its limit set is a quasi-circle in the sphere at infinity. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

Quasi-Fuchsian Seifert surfaces

Fenley, Sérgio R.
Mathematische Zeitschrift , Volume 228 (2) – Jun 1, 1998
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References (5)

Publisher
Springer Journals
Copyright
Copyright © 1998 by Springer-Verlag Berlin Heidelberg
Subject
Legacy
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/PL00004607
Publisher site
See Article on Publisher Site

Abstract

Let $K \subset S^3$ be a non fibered knot with hyperbolic complement. Given a Seifert surface of minimal genus for $K$ , we prove that it corresponds to a quasi-Fuchsian group, by showing it has no accidental parabolics. In particular, this shows that any lift of the Seifert surface to the universal cover is a quasi-disk and its limit set is a quasi-circle in the sphere at infinity.

Journal

Mathematische Zeitschrift – Springer Journals

Published: Jun 1, 1998

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