6 citations · 7 across the 2 of their papers we have counts for
4 papers · 1 filter
Purely cosmetic surgeries on knots with low-span Jones polynomials, II
Kazuhiro Ichihara, Kengo Kishimoto
We show that a knot in the 3-sphere with a nontrivial Jones polynomial of span at most 14 admits no purely cosmetic surgery. This extends a result of the first author for span at m…
Alexander polynomials of simple-ribbon knots
Kengo Kishimoto, Tetsuo Shibuya, Tatsuya Tsukamoto +1
In a previous paper, we introduced special types of fusions, so called simple-ribbon fusions on links. A knot obtained from the trivial knot by a finite sequence of simple-ribbon f…
Knotted handle decomposing spheres for handlebody-knots
Atsushi Ishii, Kengo Kishimoto, Makoto Ozawa
We show that a handlebody-knot whose exterior is boundary-irreducible has a unique maximal unnested set of knotted handle decomposing spheres up to isotopies and annulus-moves. As…
The dealternating number and the alternation number of a closed 3-braid
Tetsuya Abe, Kengo Kishimoto
We give an upper bound for the dealternating number of a closed 3-braid. As applications, we determine the dealternating numbers, the alternation numbers and the Turaev genera of s…