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math.GT2020★ 8 cited
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…
math.GT2020
Concordance invariants and the Turaev genus
Hongtaek Jung, Sungkyung Kang, Seungwon Kim
We show that the differences between various concordance invariants of knots, including Rasmussen's -invariant and its generalizations -invariants, give lower bounds to the…
math.GT2020
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…