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arXiv · 1810.05040

Khovanov homology detects the Hopf links

John A. Baldwin·Steven Sivek·Yi Xie
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Abstract

We prove that any link in $S^3$ whose Khovanov homology is the same as that of a Hopf link must be isotopic to that Hopf link. This holds for both reduced and unreduced Khovanov homology, and with coefficients in either $\mathbb{Z}$ or $\mathbb{Z}/2\mathbb{Z}$.

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John A. Baldwin, Steven Sivek, Yi Xie. 2018-10-11. Khovanov homology detects the Hopf links. https://doi.org/10.4310/mrl.2019.v26.n5.a2

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