A Concordance Analogue of the 4D Light Bulb Theorem

被引：2

作者：

Miller, Maggie ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08540 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2021年 / 2021卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1093/imrn/rnz202

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a concordance analogue of Gabai's 4D light bulb theorem. That is, we show that when R and R' are homotopic, embedded 2-spheres in a 4-manifold X-4, where pi(1)(X-4) has no 2-torsion and one of R or R' has a transverse sphere, then R and R' are concordant. When pi(1)(X-4) has 2-torsion, we give a similar statement with extra hypotheses as in the 4D light bulb theorem. We also give similar statements when R and R' are orientable positive-genus surfaces.

引用

页码：2565 / 2587

页数：23

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