Vol. 11, No. 4, 2018

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A classification of Klein links as torus links

Steven Beres, Vesta Coufal, Kaia Hlavacek, M. Kate Kearney, Ryan Lattanzi, Hayley Olson, Joel Pereira and Bryan Strub

Vol. 11 (2018), No. 4, 609–624
Abstract

We classify Klein links. In particular, we calculate the number and types of components in a Kp,q Klein link. We completely determine which Klein links are equivalent to a torus link, and which are not.

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Keywords
knot theory, torus links, Klein links
Mathematical Subject Classification 2010
Primary: 57M25
Milestones
Received: 1 November 2016
Revised: 9 August 2017
Accepted: 16 August 2017
Published: 15 January 2018

Communicated by Kenneth S. Berenhaut
Authors
Steven Beres
Gonzaga University
Spokane, WA
United States
Vesta Coufal
Department of Mathematics
Gonzaga University
Spokane, WA
United States
Kaia Hlavacek
Department of Mathematics
Gonzaga University
Spokane, WA
United States
M. Kate Kearney
Department of Mathematics
Gonzaga University
Spokane, WA
United States
Ryan Lattanzi
Gonzaga University
Spokane, WA
United States
Hayley Olson
Gonzaga University
Spokane, WA
United States
Joel Pereira
Department of Mathematics
Drexel University
Philadelphia, PA
United States
Bryan Strub
Gonzaga University
Spokane, WA
United States