Khovanov homology detects $T(2,6)$

We show if $L$ is any link in $S^3$ whose Khovanov homology is isomorphic to the Khovanov homology of $T(2, 6)$ then $L$ is isotopic to $T(2, 6)$. We show this for unreduced Khovanov homology with $\mathbb{Z}$ coefficients.

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Received 14 May 2020

Accepted 24 December 2020

Published 30 November 2022