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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.01914 |
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| _version_ | 1866912360443150336 |
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| author | Nahm, Gheehyun |
| author_facet | Nahm, Gheehyun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01914 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral sequences in unoriented link Floer homology Nahm, Gheehyun Geometric Topology 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. |
| title | Spectral sequences in unoriented link Floer homology |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2505.01914 |