11 citations · 62 across the 26 of their papers we have counts for
7 papers · 1 filter
The -genus of boundary links
Peter Feller, JungHwan Park, Mark Powell
The -genus of a link in is the minimal genus of a locally flat, embedded, connected surface in whose boundary is and with the fundamental group of t…
Linear independence of rationally slice knots
Jennifer Hom, Sungkyung Kang, JungHwan Park +1
A knot in is rationally slice if it bounds a disk in a rational homology ball. We give an infinite family of rationally slice knots that are linearly independent in the knot…
Non-simply connected symplectic fillings of lens spaces
Paolo Aceto, Duncan McCoy, JungHwan Park
We prove results exploring the relationship between the fundamental group and the second Betti number of minimal symplectic fillings of lens spaces. These results unify and general…
A note on the four-dimensional clasp number of knots
Peter Feller, JungHwan Park
Among the knots that are the connected sum of two torus knots with cobordism distance 1, we characterize those that have 4-dimensional clasp number at least 2, and we show that the…
Isotopy and equivalence of knots in 3-manifolds
Paolo Aceto, Corey Bregman, Christopher W. Davis +2
We show that in a prime, closed, oriented 3-manifold M, equivalent knots are isotopic if and only if the orientation preserving mapping class group is trivial. In the case of irred…
Ribbon knots, cabling, and handle decompositions
Jennifer Hom, Sungkyung Kang, JungHwan Park
The fusion number of a ribbon knot is the minimal number of 1-handles needed to construct a ribbon disk. The strong homotopy fusion number of a ribbon knot is the minimal number of…