Seifert-fibered surgeries which do not arise from primitive/Seifert-fibered constructions

被引：19

作者：

Mattman, T ^{[1
]}

Miyazaki, K

Motegi, K

机构：

[1] Calif State Univ Los Angeles, Dept Math & Stat, Chico, CA 95929 USA

[2] Tokyo Denki Univ, Fac Engn, Tokyo 1018457, Japan

[3] Nihon Univ, Dept Math, Tokyo 1568550, Japan

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 358卷 / 09期

关键词：

Dehn surgery; hyperbolic knot; Seifert fiber space; primitive/Seifert fibered construction;

D O I：

10.1090/S0002-9947-05-03798-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct two infinite families of knots each of which admits a Seifert fibered surgery with none of these surgeries coming from Dean's primitive/Seifert-fibered construction. This disproves a conjecture that all Seifert-fibered surgeries arise from Dean's primitive/Seifert-fibered construction. The (-3, 3, 5)-pretzel knot belongs to both of the infinite families.

引用

页码：4045 / 4055

页数：11

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