Exchange moves and braid representations of links
classification
🧮 math.GT
keywords
exchangeinfinitelymanymoverepresentationsadmittingbraidbraids
read the original 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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