NONSURJECTIVE SATELLITE OPERATORS AND PIECEWISE-LINEAR CONCORDANCE

DOI10.1017/FMS.2016.31zbMATH Open1369.57015arXiv1405.1125OpenAlexW2962814485WikidataQ125992966 ScholiaQ125992966MaRDI QIDQ2971043

Author name not available (Why is that?)

Publication date: 4 April 2017

Published in: (Search for Journal in Brave)

Abstract: We exhibit a knot $P$ in the solid torus, representing a generator of first homology, such that for any knot $K$ in the 3-sphere, the satellite knot with pattern $P$ and companion $K$ 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.

Full work available at URL: https://arxiv.org/abs/1405.1125

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: NONSURJECTIVE SATELLITE OPERATORS AND PIECEWISE-LINEAR CONCORDANCE

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2971043)