2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130117We define a wall-crossing morphism for Khovanov-Rozansky homology; that is, a map between the KR homology of knots related by a crossing change. Using this map, we extend KR homology to an invariant of singular knots categorifying the Vasilliev derivative of the HOMFLY polynomial, and of $\mathfrak{sl}_n$ quantum invariants.11 pages, no figuresGeometric TopologyQuantum Algebra57M25text