Abstract
AbstractWe 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.
Publisher
Cambridge University Press (CUP)
Cited by
5 articles.
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1. 3-braid knots with maximal 4-genus;Transactions of the American Mathematical Society, Series B;2024-02-27
2. Null-Homologous Twisting and the Algebraic Genus;2019-20 MATRIX Annals;2021
3. On the genus defect of positive braid knots;Algebraic & Geometric Topology;2020-02-23
4. Checkerboard graph monodromies;L’Enseignement Mathématique;2019-05-23
5. On classical upper bounds for slice genera;Selecta Mathematica;2018-08-31