On hyperbolic knots with Seifert fibered Dehn surgeries
type: Item
instance of: scholarly article
title: On hyperbolic knots with Seifert fibered Dehn surgeries
zbMATH Open document ID: 1009.57010
DOI: 10.1016/S0166-8641(01)00114-6
author: Mario Eudave-Muñoz
published in: Topology and its Applications
publication date: 2002-08-22T00:00:00Z
review text: 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.
reviewed by: Michele Mulazzani
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57M50
zbMATH DE Number: 1787520
zbMATH Keywords: Dehn surgery
zbMATH Keywords: Seifert fibered manifolds
zbMATH Keywords: non-hyperbolic surgery
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1787520