Doubles of Gluck twists: a five dimensional approach
Geometric Topology
2023-07-14 v1
Abstract
Using a 5-dimensional perspective, we balance algebraic and geometric handle cancellation to show that doubles of Gluck twists of certain 2-spheres with two minima are standard. This includes all 2-spheres which are unions of ribbon discs, one of which has undisking number one. As an application, we produce new examples of Schoenflies balls not known to be standard.
Cite
@article{arxiv.2307.06388,
title = {Doubles of Gluck twists: a five dimensional approach},
author = {David Gabai and Patrick Naylor and Hannah Schwartz},
journal= {arXiv preprint arXiv:2307.06388},
year = {2023}
}
Comments
24 pages, 21 figures. Comments welcome!