3 papers
math.GT2026
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…
math.GT2026
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…
math.GT2025
Khovanov homology and equivariant surfaces
Maciej Borodzik, Irving Dai, Abhishek Mallick +1
We introduce a refinement of Bar-Natan homology for involutive links, extending the work of Lobb-Watson and Sano. We construct a new suite of numerical invariants and derive bounds…