A Dunfield--Gong 4-Sphere is Standard
Geometric Topology
2026-03-26 v1
Abstract
In this paper, we standardize a homotopy -sphere constructed by Dunfield and Gong. As a corollary, we show that the -crossing knot , which is not known to be ribbon, is slice in the standard -ball. Thus, serves as a potential counterexample to the Slice-Ribbon Conjecture. In addition, we show that the same knot bounds a fibered handle-ribbon disk in .
Cite
@article{arxiv.2603.23717,
title = {A Dunfield--Gong 4-Sphere is Standard},
author = {Trevor Oliveira-Smith},
journal= {arXiv preprint arXiv:2603.23717},
year = {2026}
}
Comments
15 Pages, 10 Figures. Comments Welcome!