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We continue our study of the knot Floer homology invariants of cable knots.For large |n|, we prove that many of the filtered subcomplexes in the knotFloer homology filtration associated to the (p,pn+1) cable of a knot, K, areisomorphic to those of K. This result allows us to obtain information about thebehavior of the Ozsvath-Szabo concordance invariant under cabling, which hasgeometric consequences for the cabling operation. Applications consideredinclude quasipositivity in the braid group, the knot theory of complex curves,smooth concordance, and lens space (or, more generally, L-space) surgeries.

On knot Floer homology and cabling II