Cables of thin knots and bordered Heegaard Floer homology

الأصل · EN

We use bordered Floer homology to give a formula for the knot Floer homology of any (p, pn+1)-cable of a thin knot K in terms of Deltaₖ(t), tau(K), p, and n. We also give a formula for the Ozsvath-Szabo concordance invariant tau(Kp, pn+1) in terms of tau(K), p, and n, and a formula for tau(Kₚ,q) for almost all relatively prime p and q.