JungHwan Park

activity

20232026

collaborators

4 papers

math.GT2026

Lifting Milnor Invariants for 3-Component Links

Christopher W. Davis, JungHwan Park

We define a sequence of integer-valued invariants $γ^{k} (L)$ for a $3$ -component link $L$ . We prove that the resulting $γ$ -invariants are invariant under concordance, and more genera…

math.GT2026

Local Knots, $ν^{+}$ -Sharp Knots, and Rational Slice Genus

Junghwan Park, Zhongtao Wu, Jingling Yang

Hom and Wu introduced the knot concordance invariant $ν^{+}$ for knots in $S^{3}$ and proved that it gives a lower bound for the slice genus. Wu and Yang extended $ν^{+}$ to knots…

math.GT2025

Ribbon knots and iterated cables of fibered knots

Jennifer Hom, JungHwan Park

We define a knot to be $γ_{0}$ -sharp if its Seifert genus is detected by the concordance invariant $γ_{0}$ , which arises from the immersed curve formalism in bordered Heegaard Floer ho…

math.GT2023

A note on rational band moves

Daren Chen, Jennifer Hom, Min Hoon Kim +2

We introduce an oriented rational band move, a generalization of an ordinary oriented band move, and show that if a knot $K$ in the three-sphere can be made into the $(n + 1)$ -compon…

Lifting Milnor Invariants for 3-Component Links

Local Knots, ν+-Sharp Knots, and Rational Slice Genus

Ribbon knots and iterated cables of fibered knots

A note on rational band moves

Local Knots, $ν^{+}$ -Sharp Knots, and Rational Slice Genus