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The lexicographic degree of the first tw...
Brugallé, Erwan...
The lexicographic degree of the first two-bridge knots by Brugallé, Erwan ( Author )
Australian National University
07-09-2023
We study the degree of polynomial representations of knots. We give the lexicographic degree of all two-bridge knots with 11 or fewer crossings. First, we estimate the total degree of a lexicographic parametrisation of such a knot. This allows us to transform this problem into a study of real algebraic trigonal plane curves, and in particular to use the braid theoretical method developed by Orevkov.
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1501.06393
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