#### Vol. 9, No. 2, 2016

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### Enrique Alvarado, Steven Beres, Vesta Coufal, Kaia Hlavacek, Joel Pereira and Brandon Reeves

Vol. 9 (2016), No. 2, 347–359
##### Abstract

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 ${K}_{p,q}$ Klein link and show that ${K}_{p,p}\equiv {K}_{p,p-1}$, ${K}_{p,2}\equiv {T}_{p-1,2}$, and ${K}_{2p,2p}\equiv {T}_{2p,p}$. Finally, we show that in contrast to the fact that every Klein knot is a torus knot, no Klein link ${K}_{p,p}$, where $p\ge 5$ is odd, is equivalent to a torus link.

Primary: 57M25
##### Milestones
Revised: 23 February 2015
Accepted: 26 February 2015
Published: 2 March 2016