Cables of thin knots and bordered Heegaard Floer homology

Mathematics – Geometric Topology

Scientific paper

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18 pages, 8 figures

Scientific paper

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 Delta_K(t), tau(K), p, and
n. We also give a formula for the Ozsvath-Szabo concordance invariant tau(K_{p,
pn+1}) in terms of tau(K), p, and n, and a formula for tau(K_{p,q}) for almost
all relatively prime p and q.

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