Positive braid knots of maximal topological 4-genus

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.

13 pages, 6 figures

Cited by in corpus (3)

• On classical upper bounds for slice genera
• On the genus defect of positive braid knots
• 3-braid knots with maximal 4-genus