6 papers
Torus knots obtained by negatively twisting torus knots
Sangyop Lee, Thiago de Paiva
Twisted torus knots are torus knots with some full twists added along some number of adjacent strands. There are infinitely many known examples of twisted torus knots which are act…
Enumerating independent vertex sets in grid graphs
Seungsang Oh, Sangyop Lee
A set of vertices in a graph is called independent if no two vertices of the set are connected by an edge. In this paper we use the state matrix recursion algorithm, developed by O…
Boundary structures of hyperbolic 3-manifolds admitting annular and toroidal fillings at large distance
Sangyop Lee, Masakazu Teragaito
For a hyperbolic 3-manifold with a torus boundary component,all but finitely many Dehn fillings yield hyperbolic 3-manifolds. In this paper, we will focus on the situation wher…
Reducing Dehn fillings and small surfaces
Sangyop Lee, Seungsang Oh, Masakazu Teragaito
In this paper we investigate the distances between Dehn fillings on a hyperbolic 3-manifold that yield 3-manifolds containing essential small surfaces including non-orientable surf…
P^2-reducing and toroidal Dehn fillings
Gyo Taek Jin, Sangyop Lee, Seungsang Oh +1
We study the situation where we have two exceptional Dehn fillings on a given hyperbolic 3-manifold. We consider two cases that one filling creates a projective plane, and the othe…
Dehn fillings creating essential spheres and tori
Sangyop Lee, Seungsang Oh, Masakazu Teragaito
Let be a simple 3-manifold with a toral boundary component. It is known that if two Dehn fillings on along the boundary produce a reducible manifold and a toroidal manifold…