47 citations · 214 across the 26 of their papers we have counts for
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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
A general Heegaard Floer surgery formula
Ian Zemke
We give several new perspectives on the Heegaard Floer Dehn surgery formulas of Manolescu, Ozsváth and Szabó. Our main result is a new exact triangle in the Fukaya category of the…
math.GT2023★ 2 cited
Connected sums and directed systems in knot Floer homologies
Sudipta Ghosh, Ian Zemke
We prove a number of fundamental properties about instanton knot Floer homology. Our arguments rely on general properties of sutured Floer theories and apply also in the Heegaard F…