JournalsqtVol. 4, No. 4pp. 377–409

Cables of thin knots and bordered Heegaard Floer homology

  • Ina Petkova

    Columbia University, New York
Cables of thin knots and bordered Heegaard Floer homology cover
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Abstract

We use bordered Floer homology to give a formula for HFK^(Kp,pn+1)\widehat{\rm HFK} (K_{p, pn+1}) of any (p,pn+1)(p, pn+1)-cable of a thin knot KK in terms of ΔK(t)\Delta_K(t), τ(K)\tau(K), pp, and nn. We also give a formula for the Ozsváth–Szabó concordance invariant τ(Kp,q)\tau(K_{p, q}) in terms of τ(K)\tau(K), pp, and qq, for all relatively prime pp and qq.

Cite this article

Ina Petkova, Cables of thin knots and bordered Heegaard Floer homology. Quantum Topol. 4 (2013), no. 4, pp. 377–409

DOI 10.4171/QT/43