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math.GT2023★ 2 cited
Splitting maps in link Floer homology and integer points in permutahedra
Akram Alishahi, Eugene Gorsky, Beibei Liu
In this paper, we study the skein exact sequence for links via the exact surgery triangle of link Floer homology and compare it with other skein exact sequences given by Ozsváth an…
math.GT2023
Khovanov homology and the Involutive Heegaard Floer homology of branched double covers
Akram Alishahi, Linh Truong, Melissa Zhang
We use involutive Heegaard Floer homology to extend the Ozsváth-Szabó branched double cover spectral sequence relating a version of Khovanov homology and the Heegaard Floer homolog…