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.
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页码：587 / 607
页数：21
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