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We define a concordance invariant,  ε ( K ), associated to the knot Floer complex of  K , and give a formula for the Ozsváth–Szabó concordance invariant  τ  of  K   p , q  , the ( p ,  q )‐cable of a knot  K , in terms of  p ,  q ,  τ ( K ), and  ε ( K ). We also describe the behavior of  ε  under cabling, allowing one to compute  τ  of iterated cables. Various properties and applications of  ε  are also discussed.

Bordered Heegaard Floer homology and the tau‐invariant of cable knots