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Linear independence of rationally slice knots

### Jennifer Hom, Sungkyung Kang, JungHwan Park and Matthew Stoffregen

Geometry & Topology 26 (2022) 3143–3172
##### 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.

##### Keywords
rationally slice knot, linear independence, involutive knot Floer homology
##### Mathematical Subject Classification
Primary: 57K10, 57K18