Isotopy of surfaces in 4-manifolds after a single stabilization

被引：6

作者：

Auckly, Dave ^{[1
]}

Kim, Hee Jung ^{[2
]}

Melvin, Paul ^{[3
]}

Ruberman, Daniel ^{[4
]}

Schwartz, Hannah ^{[3
]}

机构：

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

[2] Seoul Natl Univ, Dept Math Sci, 1 Gwanak Ro, Seoul 08826, South Korea

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

[4] Brandeis Univ, Dept Math, MS 050, Waltham, MA 02454 USA

来源：

ADVANCES IN MATHEMATICS | 2019年 / 341卷

基金：

美国国家科学基金会;

关键词：

Surfaces in 4-manifolds; Isotopy; Stabilization; PSEUDO-ISOTOPIES; DIFFEOMORPHISM;

D O I：

10.1016/j.aim.2018.10.040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Any two homologous closed oriented surfaces of the same genus embedded in a smooth 4-manifold X with simply-connected complement are shown to be smoothly isotopic in X # S-2 x S-2 if the surfaces are ordinary, and in X # S-2 (x) over tilde S-2 if they are characteristic. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：609 / 615

页数：7

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