5 citations · 10 across the 4 of their papers we have counts for
6 papers
Infinite families of non-fibered twisted torus knots
Adnan, Kyungbae Park
We present explicit infinite families of twisted torus knots that are not fibered. Our approach relies on an explicit formula for the Alexander polynomial derived in our previous w…
Spherical 3-manifolds bounding rational homology balls
Dong Heon Choe, Kyungbae Park
We give a complete classification of the spherical 3-manifolds that bound smooth rational homology 4-balls. Furthermore, we determine the order of spherical 3-manifolds in the rati…
Irreducible 3-manifolds that cannot be obtained by 0-surgery on a knot
Matthew Hedden, Min Hoon Kim, Thomas E. Mark +1
We give two infinite families of examples of closed, orientable, irreducible 3-manifolds such that and has weight 1, but is not the result of Dehn surge…
On intersection forms of definite 4-manifolds bounded by a rational homology 3-sphere
Dong Heon Choe, Kyungbae Park
We show that, if a rational homology 3-sphere bounds a positive definite smooth 4-manifold, then there are finitely many negative definite lattices, up to the stable-equivalenc…
An infinite-rank summand of knots with trivial Alexander polynomial
Min Hoon Kim, Kyungbae Park
We show that there exists a -summand in the subgroup of the knot concordance group generated by knots with trivial Alexander polynomial. To this end we use the i…
On independence of iterated Whitehead doubles in the knot concordance group
Kyungbae Park
Let be the positively-clasped untwisted Whitehead double of a knot , and be the torus knot. We show that and are linea…