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arXiv · 0911.2679

Cables of thin knots and bordered Heegaard Floer homology

Ina Petkova
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Abstract

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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Ina Petkova. 2014-10-16. Cables of thin knots and bordered Heegaard Floer homology. https://doi.org/10.4171/qt%2F43

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