1 citations · 2 across the 7 of their papers we have counts for
9 papers
Unperturbed weakly reducible non-minimal bridge positions
Jung Hoon Lee
A bridge position of a knot is said to be perturbed if there exists a cancelling pair of bridge disks. Motivated by the examples of knots admitting unperturbed strongly irreducible…
Non-minimal bridge position of -cable links
Jung Hoon Lee
Suppose that every non-minimal bridge position of a knot is perturbed. We show that if is a -cable link of , then every non-minimal bridge position of is al…
On weak reducing disks and disk surgery
Jung Hoon Lee
Let be an unknot in -bridge position in the -sphere. We give an example of a pair of weak reducing disks and for such that both disks obtained from …
On weak reducing disks for the unknot in -bridge position
Bo-Hyun Kwon, Jung Hoon Lee
We show that the complex of weak reducing disks for the unknot in -bridge position is contractible.
Reduction of bridge positions along a bridge disk
Jung Hoon Lee
Suppose a knot in a -manifold is in -bridge position. We consider a reduction of the knot along a bridge disk and show that the result is an -bridge position if an…
On topologically minimal surfaces of high genus
Jung Hoon Lee
We show that a 3-manifold containing an incompressible surface has topologically minimal surfaces of arbitrary high genus.