31 citations · 74 across the 18 of their papers we have counts for
19 papers
On keen Heegaard splittings
Ayako Ido, Yeonhee Jang, Tsuyoshi Kobayashi
In this paper, we introduce a new concept of {\it strongly keen} for Heegaard splittings, and show that, for any integers and , there exists a strongly keen Heeg…
The spectrum of the growth rate of the tunnel number is infinite
Kenneth L. Baker, Tsuyoshi Kobayashi, Yo'av Rieck
In a previous paper Kobayashi and Rieck defined the growth rate of the tunnel number of a knot , a knot invariant that measures the asymptotic behavior of the tunnel number unde…
The growth rate of the tunnel number of m-small knots
Tsuyoshi Kobayashi, Yo'av Rieck
In a previous paper the authors defined the growth rate of the tunnel number of knots, an invariant that measures that asymptotic behavior of the tunnel number under connected sum.…
A knot with destabilized bridge spheres of arbitrarily high bridge number
Yeonhee Jang, Tsuyoshi Kobayashi, Makoto Ozawa +1
We show that there exists an infinite family of knots, each of which has, for each integer k>=0, a destabilized (2k+5)-bridge sphere. We also show that, for each integer n>=4, ther…
Strong cylindricality and the monodromy of bundles
Kazuhiro Ichihara, Tsuyoshi Kobayashi, Yo'av Rieck
A surface in a 3-manifold is called cylindrical if cut open along admits an essential annulus . If, in addition, is embedded in , then…
Heegaard splittings of distance exactly
Ayako Ido, Yeonhee Jang, Tsuyoshi Kobayashi
In this paper, we show that, for any integers and , there exist genus- Heegaard splittings of compact 3-manifolds with distance exactly .