Klein links and related torus links
- Enrique Alvaradoc(Author),
- Steven Beresd(Author),
- ,
- Kaia Hlavacekd(Author),
- Joel Pereirad(Author),
- Brandon Reevesb(Author)
- ,
- bUniversity of Wisconsin (Madison),
- cWashington State University Pullman,
- dUnknown name
Research Output: Contribution to journal Article Peer-review
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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 Kp,q Klein link and show that Kp,p ≡ Kp,p−1, Kp,2 ≡ Tp−1,2, 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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Citations
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