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arXiv:1502.01102 [math.GT]AbstractReferencesReviewsResources

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

Tetsuya Abe, Keiji Tagami

Published 2015-02-04Version 1

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.

Comments: 14 pages, 9 figures. Comments are welcome
Categories: math.GT
Subjects: 57M25, 57R65
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