Mathematische Zeitschrift

, Volume 228, Issue 2, pp 221-227

First online:

Quasi-Fuchsian Seifert surfaces

  • Sérgio R. FenleyAffiliated with Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544-1000, USA (e-mail:

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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.