Isotopy of surfaces in 4-manifolds after a single stabilization
Authors: Auckly, D; Kim, HJ; Melvin, P; Ruberman, D; Schwartz, H
Source: ADVANCES IN MATHEMATICS, 341 609-615; 10.1016/j.aim.2018.10.040 JAN 7 2019
Publication Type: Article
Abstract: 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.