INDEPENDENCE OF ITERATED WHITEHEAD DOUBLES

被引：0
|
作者：
Pinzon-Caicedo, Juanita [1 ]
机构：
[1] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 03期
基金：
美国国家科学基金会;
关键词：
HOMOLOGY; CONCORDANCE; OBSTRUCTION; TOPOLOGY; KNOTS;
D O I：
10.1090/proc/14261
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A theorem of Furuta and Fintushel-Stern provides a criterion for a collection of Seifert fiberd homology spheres to be independent in the homology cobordism group of oriented homology 3-spheres. In this article we use these results and some 4-dimensional constructions to produce infinite families of positive torus knots whose iterated Whitehead doubles are independent in the smooth concordance group.
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页码：1313 / 1324
页数：12
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