Involve: A Journal of Mathematics
- Volume 8, Number 1 (2015), 169-179.
Braid computations for the crossing number of Klein links
Klein links are a nonorientable counterpart to torus knots and links. It is shown that braids representing a subset of Klein links take on the form of a very positive braid after manipulation. Once the braid has reached this form, its number of crossings is the crossing number of the link it represents. Two formulas are proven to calculate the crossing number of Klein links, where . In combination with previous results, these formulas can be used to calculate the crossing number for any Klein link with given values of and .
Involve, Volume 8, Number 1 (2015), 169-179.
Received: 29 January 2014
Revised: 29 May 2014
Accepted: 31 May 2014
First available in Project Euclid: 22 November 2017
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Bush, Michael; Shepherd, Danielle; Smith, Joseph; Smith-Polderman, Sarah; Bowen, Jennifer; Ramsay, John. Braid computations for the crossing number of Klein links. Involve 8 (2015), no. 1, 169--179. doi:10.2140/involve.2015.8.169. https://projecteuclid.org/euclid.involve/1511370847