Translator Disclaimer
2020 On the genus defect of positive braid knots
LIVIO LIECHTI
Algebr. Geom. Topol. 20(1): 403-428 (2020). DOI: 10.2140/agt.2020.20.403

Abstract

We show that the difference between the Seifert genus and the topological 4–genus of a prime positive braid knot is bounded from below by an affine function of the minimal number of strands among positive braid representatives of the knot. We deduce that among prime positive braid knots, the property of having such a genus difference less than any fixed constant is characterised by finitely many forbidden surface minors.

Citation

Download Citation

LIVIO LIECHTI. "On the genus defect of positive braid knots." Algebr. Geom. Topol. 20 (1) 403 - 428, 2020. https://doi.org/10.2140/agt.2020.20.403

Information

Received: 5 November 2018; Revised: 22 March 2019; Accepted: 18 June 2019; Published: 2020
First available in Project Euclid: 19 July 2021

Digital Object Identifier: 10.2140/agt.2020.20.403

Subjects:
Primary: 57M25, 57M27
Secondary: 06A06

Rights: Copyright © 2020 Mathematical Sciences Publishers

JOURNAL ARTICLE
26 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.20 • No. 1 • 2020
MSP
Back to Top