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math.GT2024
Exotically knotted closed surfaces from Donaldson's diagonalization for families
Hokuto Konno, Abhishek Mallick, Masaki Taniguchi
We introduce a method to detect exotic surfaces without explicitly using a smooth 4-manifold invariant or an invariant of a 4-manifold-surface pair in the construction. Our main to…
math.GT2024
On localizing groups of exotic diffeomorphisms of 4-manifolds
Hokuto Konno, Abhishek Mallick
Ruberman in the 90's showed that the group of exotic diffeomorphisms of closed 4-manifolds can be infinitely generated. We provide various results on the question of when such infi…