6 citations · 7 across the 5 of their papers we have counts for
5 papers
On composite types of tunnel number two knots
Kanji Morimoto
Let be a tunnel number two knot. Then, by considering the -decompositions, is one of (3, 0)-, (2, 1)-, (1, 2)- or (0, 3)-knots. In the present paper, we analyze the…
On Heegaard splittings of knot exteriors with tunnel number degenerations
Kanji Morimoto
Let be two knots with and $t(K_1 # K_2)=2$. Then, in the present paper, we will show that any genus three Heegaard splittings of $E(K_1 # K_2)$ is stro…
On tangle decompositions of twisted torus knots
Kanji Morimoto
In the present paper, we will show that for any integer n>0 there are infinitely many twisted torus knots with n-string essential tangle decompositions.
On composite twisted torus knots
Kanji Morimoto
In the present note, we will show that there are infinitely many composite twisted torus knots.
On the degeneration ratio of tunnel numbers and free tangle decompositions of knots
Kanji Morimoto
In this paper, we introduce a notion called n/k-free tangle and study the degeneration ratio of tunnel numbers of knots.