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.

引用

页码：1313 / 1324

页数：12

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