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arXiv · 2505.01914

Spectral sequences in unoriented link Floer homology

Gheehyun Nahm
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Abstract

In a previous work, we defined an unoriented skein exact triangle in unoriented link Floer homology. In this paper, we iterate a modified version of this exact triangle and obtain a spectral sequence from various versions of Khovanov homology to various versions of unoriented link Floer homology, over the field with two elements. In particular, for knots in $S^{3}$, we obtain a spectral sequence from the reduced Khovanov homology of the mirror of the knot to the knot Floer homology of the knot.

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Gheehyun Nahm. 2025-05-03. Spectral sequences in unoriented link Floer homology. https://arxiv.org/abs/2505.01914

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