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.
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页码：149 / 168
页数：20
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