Positive braid knots of maximal topological 4-genus
Geometric Topology
2017-12-01 v2
Abstract
We show that a positive braid knot has maximal topological 4-genus exactly if it has maximal signature invariant. As an application, we determine all positive braid knots with maximal topological 4-genus and compute the topological 4-genus for all positive braid knots with up to 12 crossings.
Keywords
Cite
@article{arxiv.1511.03883,
title = {Positive braid knots of maximal topological 4-genus},
author = {Livio Liechti},
journal= {arXiv preprint arXiv:1511.03883},
year = {2017}
}
Comments
13 pages, 6 figures