3-braid knots with maximal 4-genus
Geometric Topology
2024-03-29 v2
Abstract
We classify 3-braid knots whose topological 4-genus coincides with their Seifert genus, using McCoy's twisting method and the Xu normal form. In addition, we give upper bounds for the topological 4-genus of positive and strongly quasipositive 3-braid knots.
Keywords
Cite
@article{arxiv.2303.11918,
title = {3-braid knots with maximal 4-genus},
author = {Sebastian Baader and Lukas Lewark and Filip Misev and Paula Truöl},
journal= {arXiv preprint arXiv:2303.11918},
year = {2024}
}
Comments
24 pages, 7 figures, comments welcome. v2: minor changes, new infinite family of examples in Remark 4.7. Corresponds to published version