11 citations · 62 across the 26 of their papers we have counts for
5 papers · 1 filter
Rational cobordisms and integral homology
Paolo Aceto, Daniele Celoria, JungHwan Park
We consider the question of when a rational homology 3-sphere is rational homology cobordant to a connected sum of lens spaces. We prove that every rational homology cobordism clas…
On distinct finite covers of 3-manifolds
Stefan Friedl, JungHwan Park, Bram Petri +2
Every closed orientable surface S has the following property: any two connected covers of S of the same degree are homeomorphic (as spaces). In this, paper we give a complete class…
Linear independence of cables in the knot concordance group
Christopher W. Davis, JungHwan Park, Arunima Ray
We produce infinite families of knots for which the set of cables is linearly independent in the knot concordance group. We arrange…
Pretzel links, mutation, and the slice-ribbon conjecture
Paolo Aceto, Min Hoon Kim, JungHwan Park +1
Let p and q be distinct integers greater than one. We show that the 2-component pretzel link P(p,q,-p,-q) is not slice, even though it has a ribbon mutant, by using 3-fold branched…
A ribbon obstruction and derivatives of knots
JungHwan Park, Mark Powell
We define an obstruction for a knot to be Z[Z]-homology ribbon, and use this to provide restrictions on the integers that can occur as the triple linking numbers of derivative link…