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

页码：2237 / 2245

页数：9

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