Topologically slice knots that are not smoothly slice in any definite 4-manifold
Geometric Topology
2018-03-16 v1
Abstract
We prove that there exist infinitely many topologically slice knots which cannot bound a smooth null-homologous disk in any definite 4-manifold. Furthermore, we show that we can take such knots so that they are linearly independent in the the knot concordance group.
Keywords
Cite
@article{arxiv.1606.06491,
title = {Topologically slice knots that are not smoothly slice in any definite 4-manifold},
author = {Kouki Sato},
journal= {arXiv preprint arXiv:1606.06491},
year = {2018}
}
Comments
9 pages, 4 figures