On the invariance of the Dowlin spectral sequence

Samuel Tripp; Zachary Winkeler

doi:10.2140/agt.2024.24.5123

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arXiv · 2207.14415

On the invariance of the Dowlin spectral sequence

Samuel Tripp·Zachary Winkeler

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Abstract

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 $k\ge 3$.

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Samuel Tripp, Zachary Winkeler. 2022-07-29. On the invariance of the Dowlin spectral sequence. https://doi.org/10.2140/agt.2024.24.5123

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