5 papers
Exotic disks and singular instanton Floer homology
Irving Dai, Abhishek Mallick, Masaki Taniguchi
We show that singular instanton Floer homology with the Chern--Simons filtration can be used to produce exotic pairs of slice disks. We moreover construct a strongly invertible $\m…
Reidemeister and movie moves for involutive links
Maciej Borodzik, Irving Dai, Abhishek Mallick +1
An involutive link is a link which is invariant under the standard rotation by 180 degrees in . We establish an equivariant analogue of the work of Carter and Saito aimed at s…
On absolutely exotic diffeomorphisms of 4-manifolds
Hokuto Konno, Abhishek Mallick, Masaki Taniguchi
We prove that there exist infinitely many contractible compact smooth -manifolds that admit absolutely exotic diffeomorphisms of infinite order in .…
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…
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…