K. Morimoto

activity

20092014

most citedOn the degeneration ratio of tunnel numbers and free tangle decompositions of knots

6 citations · 7 across the 5 of their papers we have counts for

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Showing 2013Show all

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math.GT2013

On Heegaard splittings of knot exteriors with tunnel number degenerations

Kanji Morimoto

Let $K_{1}, K_{2}$ be two knots with $t (K_{1}) + t (K_{2}) > 2$ 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…