Linear independence of rationally slice knots

Abstract

A knot in $S^3$ is rationally slice if it bounds a disk in a rational homology ball. We give an infinite family of rationally slice knots that are linearly independent in the knot concordance group. In particular, our examples are all infinite order. All previously known examples of rationally slice knots were order two.

21 pages, 4 figures, final version, to appear in Geometry & Topology

References in corpus (4)

• Floer homology and knot complements
• The structure of the rational concordance group of knots
• Cabling in terms of immersed curves
• A mnemonic for the Lipshitz-Ozsváth-Thurston correspondence