A note on rationally slice knots
Geometric Topology
2022-12-27 v1
Abstract
Kawauchi proved that every strongly negative amphichiral knot bounds a smoothly embedded disk in some rational homology ball , whose construction a priori depends on . We show that is independent of up to diffeomorphism. Thus, a single 4-manifold, along with connected sums thereof, accounts for all known examples of knots that are rationally slice but not slice.
Keywords
Cite
@article{arxiv.2212.12951,
title = {A note on rationally slice knots},
author = {Adam Simon Levine},
journal= {arXiv preprint arXiv:2212.12951},
year = {2022}
}
Comments
9 pages, 2 figures