3 papers
math.GT2018
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…
math.GT2018
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…
math.GT2016
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…