Analytic knots, satellites and the 4-ball genus

被引:1
|
作者
Joericke, Burglind [1 ]
机构
[1] Humboldt Univ, Unter Linden 6, D-10099 Berlin, Germany
关键词
Knots; Links; 4-Ball genus; Quasi positive braids; Satellite knots; Braided links; Branched coverings of open Riemann surfaces; UNIFORM APPROXIMATION; INVARIANT; BRAIDS;
D O I
10.1007/s00209-016-1762-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Call a smooth knot (or smooth link) in the unit sphere in C-2 analytic (respectively, smoothly analytic) if it bounds a complex curve (respectively, a smooth complex curve) in the complex ball. Let K be a smoothly analytic knot. For a small tubular neighbourhood of K we give a sharp lower bound for the 4-ball genus of analytic links L contained in it.
引用
收藏
页码:263 / 290
页数:28
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