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arXiv · 1103.2510

Exchange moves and braid representations of links

Reiko Shinjo·Alexander Stoimenow
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Abstract

We prove that under fairly general conditions an iterated exchange move gives infinitely many non-conjugate braids. As a consequence, every knot has infinitely many conjugacy classes of n-braid representations if and only if it has one admitting an exchange move.

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Reiko Shinjo, Alexander Stoimenow. 2011-03-13. Exchange moves and braid representations of links. https://arxiv.org/abs/1103.2510

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