31 citations · 46 across the 9 of their papers we have counts for
10 papers
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…
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…
Meridional Rank of Knots Whose Exterior is a Graph Manifold
Michel Boileau, Ederson Dutra, Yeonhee Jang +1
We prove for a large class of knots that the meridional rank coincides with the bridge number. This class contains all knots whose exterior is a graph manifold. This gives a partia…
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…
Meridional rank and bridge number for a class of links
Michel Boileau, Yeonhee Jang, Richard Weidmann
We prove that links with meridional rank 3 whose 2-fold branched covers are graph manifolds are 3-bridge links. This gives a partial answer to a question by S. Cappell and J. Shane…
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…
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 .
A -family of quandles and handlebody-knots
Atsushi Ishii, Masahide Iwakiri, Yeonhee Jang +1
We introduce the notion of a -family of quandles which is an algebraic system whose axioms are motivated by handlebody-knot theory, and use it to construct invariants for handle…
Classification of 3-bridge spheres of 3-bridge arborescent links
Yeonhee Jang
In this paper, we give an isotopy classification of 3-bridge spheres of 3-bridge arborescent links, which are not Montesinos links. To this end, we prove a certain refinement of a…
Characterization of 3-bridge links with infinitely many 3-bridge spheres
Yeonhee Jang
The author, in her previous paper, constructed an infinite family of 3-bridge links each of which admits infinitely many 3-bridge spheres up to isotopy. In this paper, we prove tha…