Seifert fibering surgery on periodic knots

被引:6
|
作者
Miyazaki, K
Motegi, K [1 ]
机构
[1] Nihon Univ, Coll Humanities & Sci, Dept Math, Setagaya Ku, Tokyo 1568550, Japan
[2] Tokyo Denki Univ, Fac Engn, Tokyo 101, Japan
关键词
Dehn surgery; Seifert fibered manifold; periodic knot; factor knot;
D O I
10.1016/S0166-8641(01)00123-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that if a periodic knot K in the 3-sphere yields a Seifert fibered manifold by Dehn surgery, then the quotient of K by the group action generated by any periodic map of K is a torus knot, except for a special case. We also consider what Seifert fibered manifolds are obtained by Dehn surgery on periodic knots. If a non-torus, periodic knot yields a Seifert fibered manifold M, then the base space of M is the 2-sphere; and some pair of exceptional fibers in M has indices coprime provided that M contains at most three exceptional fibers. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:275 / 285
页数:11
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