Isotopy of surfaces in 4-manifolds after a single stabilization
Geometric Topology
2017-08-11 v1
Abstract
Any two homologous surfaces of the same genus embedded in a smooth 4-manifold X with simply-connected complements are shown to be smoothly isotopic in the connected sum of X and the product of a 2-sphere with itself, if the surfaces are ordinary, and in the connected sum of X with the non-trivial sphere bundle over the sphere if they are characteristic.
Keywords
Cite
@article{arxiv.1708.03208,
title = {Isotopy of surfaces in 4-manifolds after a single stabilization},
author = {Dave Auckly and Hee Jung Kim and Paul Melvin and Daniel Ruberman and Hannah Schwartz},
journal= {arXiv preprint arXiv:1708.03208},
year = {2017}
}