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math.GT2023
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…
math.GT2023
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…