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Positive braid knots of maximal topological 4-genus
Published online by Cambridge University Press: 25 July 2016
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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 161 , Issue 3 , November 2016 , pp. 559 - 568
- Copyright
- Copyright © Cambridge Philosophical Society 2016
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