The lexicographic degree of the first two-bridge knots - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2014

The lexicographic degree of the first two-bridge knots

Résumé

We study the degree of polynomial representations of knots. We give here the lexicographic degree of all knots with eight or fewer crossings. The proof uses the braid theoretical method developed by Orevkov to study real plane curves, isotopies on trigonal curves and explicit parametrizations obtained by perturbing a triple point.
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Dates et versions

hal-01108678 , version 1 (23-01-2015)
hal-01108678 , version 2 (11-09-2018)

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Erwan Brugallé, Pierre-Vincent Koseleff, Daniel Pecker. The lexicographic degree of the first two-bridge knots. 2014. ⟨hal-01108678v1⟩
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