Non-surjective satellite operators and piecewise-linear concordance
Geometric Topology
2021-07-22 v2
Abstract
We exhibit a knot in the solid torus, representing a generator of first homology, such that for any knot in the 3-sphere, the satellite knot with pattern and companion is not smoothly slice in any homology 4-ball. As a consequence, we obtain a knot in a homology 3-sphere that does not bound a piecewise-linear disk in any homology 4-ball.
Keywords
Cite
@article{arxiv.1405.1125,
title = {Non-surjective satellite operators and piecewise-linear concordance},
author = {Adam Simon Levine},
journal= {arXiv preprint arXiv:1405.1125},
year = {2021}
}
Comments
Published version; corrected errors from previous version. 40 pages; 12 figures, some in color