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We define a wall-crossing morphism for Khovanov-Rozansky homology; that is, amap between the KR homology of knots related by a crossing change. Using thismap, we extend KR homology to an invariant of singular knots categorifying theVasilliev derivative of the HOMFLY polynomial, and of $\mathfrak{sl}_n$ quantuminvariants.

Wall-Crossing Morphisms in Khovanov-Rozansky Homology