On hyperbolic knots with Seifert fibered Dehn surgeries
In his Ph. D. Thesis, J. C. Dean described a construction which produces knots that have a small Seifert fibered manifold surgery. In this paper Dean's construction is slightly extended, using tangles, in order to include surgeries producing Seifert fibered manifolds with orbit surface a projective plane and two exceptional fibers. In particular, an infinite family of hyperbolic knots having that kind of surgery is obtained. Moreover, the author shows that all known examples of hyperbolic knots producing Seifert fibered manifolds, which were constructed by Montesinos' trick, can in fact be obtained by Dean's construction.
scientific article; zbMATH DE number 1787520
scientific article