Abstract
We show that the crossing number of a satellite knot is at least times the crossing number of its companion knot.
Citation
Marc Lackenby. "The crossing number of satellite knots." Algebr. Geom. Topol. 14 (4) 2379 - 2409, 2014. https://doi.org/10.2140/agt.2014.14.2379
Information
Received: 18 May 2012; Revised: 22 August 2013; Accepted: 1 November 2013; Published: 2014
First available in Project Euclid: 19 December 2017
zbMATH: 1297.57016
MathSciNet: MR3331616
Digital Object Identifier: 10.2140/agt.2014.14.2379
Subjects:
Primary:
57M25
Keywords:
crossing number
,
satellite knot
Rights: Copyright © 2014 Mathematical Sciences Publishers