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
收藏
页码：609 / 615
页数：7
相关论文
共 50 条
12345