Fibered knots with the same $0$-surgery and the slice-ribbon conjecture
Geometric Topology
2016-09-09 v5
Abstract
Akbulut and Kirby conjectured that two knots with the same -surgery are concordant. In this paper, we prove that if the slice-ribbon conjecture is true, then the modified Akbulut-Kirby's conjecture is false. We also give a fibered potential counterexample to the slice-ribbon conjecture.
Cite
@article{arxiv.1502.01102,
title = {Fibered knots with the same $0$-surgery and the slice-ribbon conjecture},
author = {Tetsuya Abe and Keiji Tagami},
journal= {arXiv preprint arXiv:1502.01102},
year = {2016}
}
Comments
15 pages, 9 figures; Final version. In version 4, Abstract is mistakenly deleted