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arxiv: 1502.01327 · v2 · pith:C54FPNJHnew · submitted 2015-02-04 · 🧮 math.GT

Unknotting number for Lorenz knots

classification 🧮 math.GT
keywords lorenzunknottingknotsnumberpositiveattractorbraidbraids
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The unknotting number of a positive braid with n strands and k intersections is known to be equal to (k-n+1)/2. We consider Lorenz knots (which are positive braids) and, using a different method, find their unknotting numbers in terms of their positions on the Lorenz attractor.

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