Showing math.GTShow all
2 papers · 1 filter
math.GT2026
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.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…