NONSURJECTIVE SATELLITE OPERATORS AND PIECEWISE-LINEAR CONCORDANCE

被引：23
|
作者：
Levine, Adam Simon [1 ]
机构：
[1] Princeton Univ, Dept Math, Princeton, NJ 08540 USA
来源：
FORUM OF MATHEMATICS SIGMA | 2016年 / 4卷
基金：
美国国家科学基金会;
关键词：
HEEGAARD FLOER HOMOLOGY; KNOT CONCORDANCE; SMOOTH CONCORDANCE; MANIFOLDS;
D O I：
10.1017/fms.2016.31
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We exhibit a knot P in the solid torus, representing a generator of first homology, such that for any knot K in the 3-sphere, the satellite knot with pattern P and companion K is not smoothly slice in any homology 4-ball. As a consequence, we obtain a knot in a homology 3-sphere that does not bound a piecewise-linear disk in any homology 4-ball.
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页数：47
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