3 papers
math.GT2025
Folding Branched Covers of the -Sphere Branched over Knots
J. Scott Carter, Seonmi Choi, Byeorhi Kim
A folding of a branched cover of the 3-sphere that is branched over a knot is a continuous map of the cover into the product of the sphere with a disk that has the property that th…
math.GT2023
Light bulb smoothing for topological surfaces in 4-manifolds
Jae Choon Cha, Byeorhi Kim
We present new smoothing techniques for topologically embedded surfaces in smooth 4-manifolds, which give topological isotopy to a smooth surface. As applications, we prove "topolo…
math.GT2018
Amusing Permutation Representations of Group Extensions
Yongju Bae, J. Scott Carter, Byeorhi Kim
Semi-direct products of finite groups have permutation representations that are constructed from the permutation representations of their constituents. One can envision these in a…