3 papers
math.GT2024
On keen bridge splittings of links
Ayako Ido, Yeonhee Jang, Tsuyoshi Kobayashi
In this paper, we extend the concept of {\it (strongly) keenness} for Heegaard splittings to bridge splittings, and show that, for any integers , and with , $b\g…
math.GT2019
Double branched covers of tunnel number one knots
Yeonhee Jang, Luisa Paoluzzi
We provide criteria ensuring that a tunnel number one knot is not determined by its double branched cover, in the sense that the double branched cover is also the double branch…
math.GT2016
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…