Virtually Haken fillings and semi-bundles

被引:3
|
作者
Cooper, Daryl [1 ]
Walsh, Genevieve S.
机构
[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
[2] Tufts Univ, Dept Math, Medford, MA 02155 USA
[3] UQAM, Dept Math, Montreal, PQ H3C 3J7, Canada
来源
GEOMETRY & TOPOLOGY | 2006年 / 10卷
关键词
D O I
10.2140/gt.2006.10.2237
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Suppose that M is a fibered three-manifold whose fiber is a surface of positive genus with one boundary component. Assume that M is not a semi- bundle. We show that infinitely many fillings of M along partial derivative M are virtually Haken. It follows that infinitely many Dehn-surgeries of any non-trivial knot in the three-sphere are virtually Haken.
引用
收藏
页码:2237 / 2245
页数:9
相关论文
共 50 条