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arXiv · 2305.07172

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

Akram Alishahi·Linh Truong·Melissa Zhang
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Abstract

We use involutive Heegaard Floer homology to extend the Ozsv\'ath-Szab\'o 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, Ozsv\'ath, and Thurston's reconstruction of the Ozsv\'ath-Szab\'o spectral sequence using bordered Floer homology and Hendricks and Lipshitz's surgery exact triangle in involutive bordered Floer homology.

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Akram Alishahi, Linh Truong, Melissa Zhang. 2023-05-11. Khovanov homology and the Involutive Heegaard Floer homology of branched double covers. https://arxiv.org/abs/2305.07172

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