2 citations · 6 across the 10 of their papers we have counts for
4 papers · 1 filter
Gompf's cork and Heegaard Floer homology
Irving Dai, Abhishek Mallick, Ian Zemke
Gompf showed that for in a certain family of double-twist knots, the swallow-follow operation makes -surgery on into a cork boundary. We derive a general Floer-t…
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…
Exotic Dehn twists on 4-manifolds
Hokuto Konno, Abhishek Mallick, Masaki Taniguchi
We initiate the study of exotic Dehn twists along 3-manifolds inside -manifolds, which produces the first known examples of exotic diffeomorphisms of contractible 4-m…
From diffeomorphisms to exotic phenomena in small 4-manifolds
Hokuto Konno, Abhishek Mallick, Masaki Taniguchi
We provide an approach to study exotic phenomena in relatively small 4-manifolds that captures many different exotic behaviors under one umbrella. These phenomena include exotic sm…