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…
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 . B…
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…
Monopoles and transverse knots
Nobuo Iida, Masaki Taniguchi
We present a framework for studying transverse knots and symplectic surfaces utilizing the Seiberg-Witten monopole equation. Our primary approach involves investigating an equivari…
Involutions and the Chern-Simons filtration in instanton Floer homology
Antonio Alfieri, Irving Dai, Abhishek Mallick +1
Building on the work of Nozaki, Sato and Taniguchi, we develop an instanton-theoretic invariant aimed at studying strong corks and equivariant bounding. Our construction utilizes t…