Fibered knots with the same $0$-surgery and the slice-ribbon conjecture

Tetsuya Abe; Keiji Tagami

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arXiv · 1502.01102

Fibered knots with the same $0$-surgery and the slice-ribbon conjecture

Tetsuya Abe·Keiji Tagami

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Abstract

Akbulut and Kirby conjectured that two knots with the same $0$-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.

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BibTeX RIS

Tetsuya Abe, Keiji Tagami. 2016-09-08. Fibered knots with the same $0$-surgery and the slice-ribbon conjecture. https://arxiv.org/abs/1502.01102

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