JungHwan Park

collaborators

3 papers

math.GT2026

Lifting Milnor Invariants for 3-Component Links

Christopher W. Davis, JungHwan Park

We define a sequence of integer-valued invariants $Î³^k(L)$ for a $3$ -component link $L$ . We prove that the resulting $I^^{3}$ -invariants are invariant under concordance, and more gene…

math.GT2026

Local Knots, $I^½^{+}$ -Sharp Knots, and Rational Slice Genus

Junghwan Park, Zhongtao Wu, Jingling Yang

Hom and Wu introduced the knot concordance invariant $I^½^{+}$ for knots in $S^{3}$ and proved that it gives a lower bound for the slice genus. Wu and Yang extended $I^½^{+}$ to knot…

math.GT2025

Ribbon knots and iterated cables of fibered knots

Jennifer Hom, JungHwan Park

We define a knot to be $I^_{0}^{3}$ -sharp if its Seifert genus is detected by the concordance invariant $I^_{0}^{3}$ , which arises from the immersed curve formalism in bordered Heegaard Floer…

Lifting Milnor Invariants for 3-Component Links

Local Knots, I^½+-Sharp Knots, and Rational Slice Genus

Ribbon knots and iterated cables of fibered knots

Local Knots, $I^½^{+}$ -Sharp Knots, and Rational Slice Genus