, Volume 228, Issue 2, pp 221-227

Quasi-Fuchsian Seifert surfaces

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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.

Received 8 November 1994; in final form 12 September 1995