Khovanov homology and the Involutive Heegaard Floer homology of branched double covers

2023/05/11 by Akram Alishahi, Alishahi, Akram, Linh Truong +3 · 1 citation
Mathematics · Medicine · #57K18 #Botulinum Toxin and Related Neurological Disorders #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2305.07172

openalex publication_date 2023/05/11 · openalex created_date 2023/05/17 · openalex updated_date 2026/07/28

Abstract

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 homology of branched double covers. Our main tools are Lipshitz, Ozsváth, and Thurston's reconstruction of the Ozsváth-Szabó spectral sequence using bordered Floer homology and Hendricks and Lipshitz's surgery exact triangle in involutive bordered Floer homology.

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