On primitive/seifert-fibered constructions

被引:11
作者
Miyzaki, K
Motegi, K
机构
[1] Tokyo Denki Univ, Fac Engn, Tokyo 1018457, Japan
[2] Nihon Univ, Dept Math, Setagaya Ku, Tokyo 1568550, Japan
关键词
D O I
10.1017/S030500410400828X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
J. Dean introduced the notion of primitive/Seifert-fibered knots and constructions to explain how Dehn surgeries on knots produce small Seifert fibered manifolds. We determine non-hyperbolic, primitive/Seifert-fibered knots, and show that for such knots any integral small Seifert fibered surgery arises from a primitive/Seifert-fibered construction. We also show that any 2-orbifold S-2(n(1),n(2),n(3)) with a pair of indices coprime becomes the base orbifold of a, Seifert fibered manifold obtained by Dehn surgery on a hyperbolic, primitive/Seifert-fibered knot it S-3.
引用
收藏
页码:421 / 435
页数:15
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