Null-homologous exotic surfaces in 4-manifolds

被引：1

作者：

Hoffman, Neil R. ^{[1
]}

Sunukjian, Nathan S. ^{[2
]}

机构：

[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

[2] Calvin Univ, Math & Stat Dept, Grand Rapids, MI USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2020年 / 20卷 / 05期

关键词：

KNOTTED SURFACES;

D O I：

10.2140/agt.2020.20.2677

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We exhibit infinite families of embedded tori in 4-manifolds that are topologically isotopic but smoothly distinct. The interesting thing about these tori is that they are topologically trivial in the sense that each bounds a topologically embedded solid handlebody. This implies that there are stably ribbon surfaces in 4-manifolds that are not ribbon.

引用

页码：2677 / 2685

页数：9

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