Stable isotopy in four dimensions

被引：16

作者：

Auckly, Dave ^{[1
]}

Kim, Hee Jung ^{[2
]}

Melvin, Paul ^{[3
]}

Ruberman, Daniel ^{[4
]}

机构：

[1] Kansas State Univ, Dept Math, Manhattan, KS 66506 USA

[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[3] Bryn Mawr Coll, Dept Math, Bryn Mawr, PA 19010 USA

[4] Brandeis Univ, Dept Math, Waltham, MA 02454 USA

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2015年 / 91卷

基金：

美国国家科学基金会;

关键词：

POSITIVE SCALAR CURVATURE; DECOMPOSITION THEOREM; ROUND HANDLES; MANIFOLDS; DIFFEOMORPHISM; TOPOLOGY; SURFACES; HOMOLOGY; METRICS; LINKS;

D O I：

10.1112/jlms/jdu075

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct infinite families of topologically isotopic, but smoothly distinct knotted spheres, in many simply connected 4-manifolds that become smoothly isotopic after stabilizing by connected summing with S(2)xS(2), and as a consequence, analogous families of diffeomorphisms and metrics of positive scalar curvature for such 4-manifolds. We also construct families of smoothly distinct links, all of whose corresponding proper sublinks are smoothly isotopic, that become smoothly isotopic after stabilizing.

引用

页码：439 / 463

页数：25

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