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Positive braid knots of maximal topological 4-genus

Published online by Cambridge University Press:  25 July 2016

LIVIO LIECHTI
LIVIO LIECHTI*
Affiliation:
Mathematisches Institut der Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland. e-mails: livio.liechti@math.unibe.ch
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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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References

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