Toroidal surgeries on hyperbolic knots

被引：5

作者：

Teragaito, M ^{[1
]}

机构：

[1] Hiroshima Univ, Fac Educ, Dept Math & Math Educ, Higashihiroshima 7398524, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 09期

关键词：

D O I：

10.1090/S0002-9939-02-06420-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a hyperbolic knot K in S-3, atoroidal surgery is Dehn surgery which yields a 3-manifold containing an incompressible torus. It is known that a toroidal surgery on K is an integer or a half-integer. In this paper, we prove that all integers occur among the toroidal slopes of hyperbolic knots with bridge index at most three and tunnel number one.

引用

页码：2803 / 2808

页数：6

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