On the topological 4-genus of torus knots
Geometric Topology
2018-06-15 v2
Abstract
We prove that the topological locally flat slice genus of large torus knots takes up less than three quarters of the ordinary genus. As an application, we derive the best possible linear estimate of the topological slice genus for torus knots with non-maximal signature invariant.
Keywords
Cite
@article{arxiv.1509.07634,
title = {On the topological 4-genus of torus knots},
author = {Sebastian Baader and Peter Feller and Lukas Lewark and Livio Liechti},
journal= {arXiv preprint arXiv:1509.07634},
year = {2018}
}
Comments
19 pages, 4 figures. Second version: minor changes, accepted for publication by Transactions of the AMS