3 papers
math.GT2025
Small symplectic caps and embeddings of homology balls in the complex projective plane
John B. Etnyre, Hyunki Min, Lisa Piccirillo +1
We present a handlebody construction of small symplectic caps, and hence of small closed symplectic 4-manifolds. We use this to construct handlebody descriptions of symplectic embe…
math.GT2025
Cable links of uniformly thick knot types
Rima Chatterjee, John B. Etnyre, Hyunki Min +1
In this paper, we study Legendrian realizations of cable links of knot types that are uniformly thick but not Legendrian simple, extending prior work of Dalton, the second author,…
math.GT2024
The contact mapping class group and rational unknots in lens spaces
Hyunki Min
We determine the contact mapping class group of the standard contact structures on lens spaces. To prove the main result, we use the one-parametric convex surface theory to classif…