14 citations · 48 across the 13 of their papers we have counts for
13 papers
Ribbon concordance and the minimality of tight fibered knots
Tetsuya Abe, Keiji Tagami
Agol proved that ribbon concordance forms a partial ordering on the set of knots in the -sphere. In this paper, we prove that all tight fibered knots are minimal in this partial…
Knots with infinitely many non-characterizing slopes
Tetsuya Abe, Keiji Tagami
Using the techniques on annulus twists, we observe that has infinitely many non-characterizing slopes, which affirmatively answers a question by Baker and Motegi. Furthermore…
Ribbon disks with the same exterior
Tetsuya Abe, Motoo Tange
We construct an infinite family of slice disks with the same exterior, which gives an affirmative answer to an old question asked by Hitt and Sumners in 1981. Furthermore, we prove…
Fibered knots with the same -surgery and the slice-ribbon conjecture
Tetsuya Abe, Keiji Tagami
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 Akbulu…
Infinitely many knots admitting the same integer surgery and a 4-dimensional extension
Tetsuya Abe, In Dae Jong, John Luecke +1
We prove that for any integer there exist infinitely many different knots in such that -surgery on those knots yields the same 3-manifold. In particular, when …
Annulus twist and diffeomorphic 4-manifolds II
Tetsuya Abe, In Dae Jong
We solve a strong version of Problem 3.6 (D) in Kirby's list, that is, we show that for any integer , there exist infinitely many mutually distinct knots such that -handle ad…