Mathematical Research Letters

Volume 29 (2022)

Number 3

Khovanov homology detects $T(2,6)$

Pages: 835 – 850



Gage Martin (Department of Mathematics, Boston College, Chestnut Hill, Massachusetts, U.S.A.)


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.

Received 14 May 2020

Accepted 24 December 2020

Published 30 November 2022