TAUT FOLIATIONS IN KNOT COMPLEMENTS

被引：5

作者：

Li, Tao ^{[1
]}

Roberts, Rachel ^{[2
]}

机构：

[1] Boston Coll, Dept Math, Chestnut Hill, MA 02467 USA

[2] Washington Univ, Dept Math, St Louis, MO 63130 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2014年 / 269卷 / 01期

关键词：

taut foliation; Dehn surgery; branched surface; PUNCTURED SURFACE BUNDLES; HOLOMORPHIC DISKS; FLOER HOMOLOGY; TOPOLOGY; LAMINATIONS; INVARIANTS;

D O I：

10.2140/pjm.2014.269.149

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for any nontrivial knot in S-3, there is an open interval containing zero such that a Dehn surgery on any slope in this interval yields a 3-manifold with taut foliations. This generalizes a theorem of Gabai on zero frame surgery.

引用

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页码：149 / 168

页数：20

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