Quasi-Fuchsian Seifert surfaces
- Cite this article as:
- Fenley, S. Math Z (1998) 228: 221. doi:10.1007/PL00004607
- 62 Downloads
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.