We use bordered Floer homology to give a formula for of any -cable of a thin knot in terms of , , , and . We also give a formula for the Ozsváth–Szabó concordance invariant in terms of , , and , for all relatively prime and .
Cite this article
Ina Petkova, Cables of thin knots and bordered Heegaard Floer homology. Quantum Topol. 4 (2013), no. 4, pp. 377–409DOI 10.4171/QT/43