Exchange moves and braid representations of links

Details Exchange moves and braid representations of links Exchange moves and braid representations of links

2011-03-13

arxiv.org/abs/1103.2510v1

Mathematics

Geometric Topology

25 pages, 17 figures

Scientific paper

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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