Open Access
2016 Klein links and related torus links
Enrique Alvarado, Steven Beres, Vesta Coufal, Kaia Hlavacek, Joel Pereira, Brandon Reeves
Involve 9(2): 347-359 (2016). DOI: 10.2140/involve.2016.9.347


In this paper, we present our constructions and results leading up to our discovery of a class of Klein links that are not equivalent to any torus links. In particular, we calculate the number and types of components in a Kp,q Klein link and show that Kp,p Kp,p1, Kp,2 Tp1,2, and K2p,2p T2p,p. Finally, we show that in contrast to the fact that every Klein knot is a torus knot, no Klein link Kp,p, where p 5 is odd, is equivalent to a torus link.


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Enrique Alvarado. Steven Beres. Vesta Coufal. Kaia Hlavacek. Joel Pereira. Brandon Reeves. "Klein links and related torus links." Involve 9 (2) 347 - 359, 2016.


Received: 3 January 2015; Revised: 23 February 2015; Accepted: 26 February 2015; Published: 2016
First available in Project Euclid: 22 November 2017

zbMATH: 1337.57006
MathSciNet: MR3470736
Digital Object Identifier: 10.2140/involve.2016.9.347

Primary: 57M25

Keywords: Klein links , knot theory , torus links

Rights: Copyright © 2016 Mathematical Sciences Publishers

Vol.9 • No. 2 • 2016
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