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math.GT2026
Ribbon concordance and cabling
Jennifer Hom, JungHwan Park
We study ribbon concordances to cable knots. We formulate a conjecture predicting that any nontrivial knot admitting a ribbon concordance to a (p,q)-cable must itself be a (p,q)-ca…
math.GT2026
Smooth Realizations of Line Configurations
Paolo Aceto, Duncan McCoy, JungHwan Park
We study the problem of realizing line configurations as collections of 2-spheres smoothly embedded in the complex projective plane. Building upon prior work by Ruberman and Starks…