Khovanov homology and cobordisms between split links

In this paper, we study the (in)sensitivity of Khovanov functor to 4-dimensional linking surfaces. We prove that if L $L$ and ? $L^{\prime }$ are split links, C $C$ is a cobordism between union disjoint (but possibly linked) cobordisms components , then map on homology induced by completely determined maps individual does not detect components. As corollary, strongly homotopy–ribbon concordance (that is, whose complement can be built with only 1- 2-handles) induces an injection homology, which generalizes result second author Zemke. Additionally, show non-split link cannot ribbon concordant link.