3 papers
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…
math.GT2026
Special alternating links of minimal unlinking number
Duncan McCoy, JungHwan Park
For any link in the 3-sphere, there is a natural lower bound for the unlinking number in terms of the classical signature. We prove that if this lower bound is sharp for a special…
math.GT2024
A survey on embeddings of 3-manifolds in definite 4-manifolds
Paolo Aceto, Duncan McCoy, JungHwan Park
This article presents a survey on the topic of embedding 3-manifolds in definite 4-manifolds, emphasizing the latest progress in the field. We will focus on the significant role pl…