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arxiv: 0911.2679 · v3 · pith:N7DHRPPQnew · submitted 2009-11-13 · 🧮 math.GT

Cables of thin knots and bordered Heegaard Floer homology

classification 🧮 math.GT
keywords floerformulahomologyborderedgiveknottermsthin
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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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