Dehn surgery on the figure 8 knot: Immersed surfaces

被引：0

作者：

Aitchison, IR ^{[1
]}

Matsumoto, S ^{[1
]}

Rubinstein, JH ^{[1
]}

机构：

[1] Univ Melbourne, Dept Math, Parkville, Vic 3052, Australia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 08期

关键词：

cubed manifolds; immersed incompressible surfaces; dihedral cover; Dehn surgery;

D O I：

10.1090/S0002-9939-99-04716-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that about 70% of surgeries on the figure 8 knot give manifolds which contain immersed incompressible surfaces. We improve this to about 80% by giving a very simple proof that all even surgeries give manifolds containing such a surface. Moreover, we give a quick proof that every (6k, t) surgery is virtually Haken, thereby partially dealing with some exceptional cases in Baker's results.

引用

页码：2437 / 2442

页数：6

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