The signature of positive braids is linearly bounded by their first Betti number

Author:

Feller Peter1

Affiliation:

1. Department of Mathematics, Maloney Hall, Boston College, Chestnut Hill, MA 02467, USA

Abstract

We provide linear lower bounds for the signature of positive braids in terms of the three-genus of their braid closure. This yields linear bounds for the topological slice genus of knots that arise as closures of positive braids.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the signature of a positive braid;Annales Henri Lebesgue;2024-09-05

2. Signature spectrum of positive braids;Bulletin de la Société mathématique de France;2023-06-16

3. Signature and concordance of positive knots;Bulletin of the London Mathematical Society;2017-12-08

4. A sharp signature bound for positive four-braids;The Quarterly Journal of Mathematics;2017-08-30

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