1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.GT2024
Calegari's homotopy 4-spheres from fibered knots are standard
Jae Choon Cha, Min Hoon Kim
In 2009, Calegari constructed smooth homotopy 4-spheres from monodromies of fibered knots. We prove that all these are diffeomorphic to the standard 4-sphere. Our method uses 5-dim…
math.GT2024
Quantitative bordism over acyclic groups and Cheeger-Gromov -invariants
Jae Choon Cha, Geunho Lim
We obtain a solution to a bordism version of Gromov's linearity problem over a large family of acyclic groups, for manifolds with arbitrary dimension. Every group embeds into some…
math.GT2001★ 1 cited
Fibred knots and twisted Alexander invariants
Jae Choon Cha
We introduce a new algebraic topological technique to detect non-fibred knots in the three sphere using the twisted Alexander invariants. As an application, we show that for any Se…