On non-orientable surfaces embedded in 4-manifolds

被引：0

作者：

Auckly, David ^{[1
]}

Sadykov, Rustam ^{[1
]}

机构：

[1] Kansas State Univ, Math Dept, 138 Cardwell Hall,1228 N 17th St, Manhattan, KS 66506 USA

来源：

JOURNAL OF TOPOLOGY | 2021年 / 14卷 / 02期

基金：

美国国家科学基金会;

关键词：

57R40; (primary); PSEUDO-ISOTOPIES;

D O I：

10.1112/topo.12188

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find conditions under which a non-orientable closed surface smoothly embedded into an orientable 4-manifold X can be represented by a connected sum of an embedded closed surface in X and an unknotted projective plane in a 4-sphere. This allows us to extend the Gabai 4-dimensional light bulb theorem and the Auckly-Kim-Melvin-Ruberman-Schwartz 'one is enough' theorem to the case of non-orientable surfaces.

引用

页码：587 / 607

页数：21

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