Framing functions and a strengthened version of Dehn's lemma

被引：2

作者：

Ito, Tetsuya ^{[1
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2016年 / 25卷 / 06期

关键词：

Dehn's lemma; Knot; framing function; 3-MANIFOLDS; FOLIATIONS; TOPOLOGY;

D O I：

10.1142/S0218216516500310

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the following strengthened version of Dehn's lemma: if a knot in a three-sphere possesses a compressing disc which intersects with the knot at only two points of opposite sign, then it is the unknot. This result was conjectured by Greene-Wiest.

引用

页数：5

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