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The lexicographic degree of the first two-bridge knots

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 نشر من قبل Pierre-Vincent Koseleff
 تاريخ النشر 2015
  مجال البحث
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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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