2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161855We prove that the Khovanov homology of the 2-cable detects the unknot. A corollary is that Khovanov's categorification of the 2-colored Jones polynomial detects the unknot.4 pages, no figuresGeometric TopologyQuantum Algebra57M27; 57M25Khovanov homology of the 2-cable detects the unknottext