On the invariance of the Dowlin spectral sequence
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910767151841280 |
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| author | Tripp, Samuel Winkeler, Zachary |
| author_facet | Tripp, Samuel Winkeler, Zachary |
| contents | Given a link $L$, Dowlin constructed a filtered complex inducing a spectral sequence with $E_2$-page isomorphic to the Khovanov homology $\overline{Kh}(L)$ and $E_\infty$-page isomorphic to the knot Floer homology $\widehat{HFK}(m(L))$ of the mirror of the link. In this paper, we prove that the $E_k$-page of this spectral sequence is also a link invariant, for $k\ge 3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_14415 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the invariance of the Dowlin spectral sequence Tripp, Samuel Winkeler, Zachary Geometric Topology 57K18 (Primary) Given a link $L$, Dowlin constructed a filtered complex inducing a spectral sequence with $E_2$-page isomorphic to the Khovanov homology $\overline{Kh}(L)$ and $E_\infty$-page isomorphic to the knot Floer homology $\widehat{HFK}(m(L))$ of the mirror of the link. In this paper, we prove that the $E_k$-page of this spectral sequence is also a link invariant, for $k\ge 3$. |
| title | On the invariance of the Dowlin spectral sequence |
| topic | Geometric Topology 57K18 (Primary) |
| url | https://arxiv.org/abs/2207.14415 |