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.
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Received 8 November 1994; in final form 12 September 1995
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Fenley, S. Quasi-Fuchsian Seifert surfaces. Math Z 228, 221–227 (1998). https://doi.org/10.1007/PL00004607
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DOI: https://doi.org/10.1007/PL00004607