Mathematics – Geometric Topology
Scientific paper
2009-11-13
Mathematics
Geometric Topology
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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