4 papers · 1 filter
Theta-curve polynomials and finite-type invariants
Youngsik Huh, Gyo Taek Jin
The normalized Yamada polynomial is a polynomial invariant in variable A for theta-curves. In this work, we show that the coefficients of the power series obtained from this polyno…
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…
Superbridge index of composite knots
Gyo Taek Jin
An upper bound of the superbridge index of the connected sum of two knots is given in terms of the braid index of the summands. Using this upper bound and minimal polygonal present…
There are only finitely many 3-superbridge knots
Choon Bae Jeon, Gyo Taek Jin
Although there are infinitely many knots with superbridge index n for every even integer n>2, there are only finitely many knots with superbridge index 3.