Linear independence of rationally slice knots
Geometric Topology
2023-02-01 v2
Abstract
A knot in 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
Cite
@article{arxiv.2011.07659,
title = {Linear independence of rationally slice knots},
author = {Jennifer Hom and Sungkyung Kang and JungHwan Park and Matthew Stoffregen},
journal= {arXiv preprint arXiv:2011.07659},
year = {2023}
}
Comments
21 pages, 4 figures, final version, to appear in Geometry & Topology