Open Access
2014 The crossing number of satellite knots
Marc Lackenby
Algebr. Geom. Topol. 14(4): 2379-2409 (2014). DOI: 10.2140/agt.2014.14.2379

Abstract

We show that the crossing number of a satellite knot is at least 1013 times the crossing number of its companion knot.

Citation

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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

Vol.14 • No. 4 • 2014
MSP
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