Involve: A Journal of Mathematics

  • Involve
  • Volume 11, Number 4 (2018), 609-624.

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

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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.

Article information

Source
Involve, Volume 11, Number 4 (2018), 609-624.

Dates
Received: 1 November 2016
Revised: 9 August 2017
Accepted: 16 August 2017
First available in Project Euclid: 28 March 2018

Permanent link to this document
https://projecteuclid.org/euclid.involve/1522202418

Digital Object Identifier
doi:10.2140/involve.2018.11.609

Mathematical Reviews number (MathSciNet)
MR3778915

Zentralblatt MATH identifier
06864399

Subjects
Primary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45}

Keywords
knot theory torus links Klein links

Citation

Beres, Steven; Coufal, Vesta; Hlavacek, Kaia; Kearney, M. Kate; Lattanzi, Ryan; Olson, Hayley; Pereira, Joel; Strub, Bryan. A classification of Klein links as torus links. Involve 11 (2018), no. 4, 609--624. doi:10.2140/involve.2018.11.609. https://projecteuclid.org/euclid.involve/1522202418


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References

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