Seifert fibered manifolds and Dehn surgery. II (Q1271211)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Seifert fibered manifolds and Dehn surgery. II |
scientific article; zbMATH DE number 1221868
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Seifert fibered manifolds and Dehn surgery. II |
scientific article; zbMATH DE number 1221868 |
Statements
Seifert fibered manifolds and Dehn surgery. II (English)
0 references
6 November 2002
0 references
For Part I see Topology 36, No. 2, 579-603 (1997; Zbl 0936.57009). This paper studies the problem of classifying the \(r\)-Dehn surgeries of a knot in \(S^3\) which produce Seifert fibrings. The main result is that for a satellite knot which is not cabled exactly once there can be at most two nontrivial surgeries on \(K\) which produce Seifert fibered manifolds. This gives good results for Seifert fibrings with base \(\mathbb{R} P^2\) and some results when the base is \(S^2\).
0 references