Author:
SHINJO REIKO,STOIMENOW ALEXANDER
Abstract
We prove that for $n\geqslant 4$, every knot has infinitely many conjugacy classes of $n$-braid representatives if and only if it has one admitting an exchange move.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. Subsymmetric exchanged braids and the Burau matrix;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2023-02-10
2. Exchangeability and Non-Conjugacy of Braid Representatives;International Journal of Computational Geometry & Applications;2021-03
3. A NONDEGENERATE EXCHANGE MOVE ALWAYS PRODUCES INFINITELY MANY NONCONJUGATE BRAIDS;Nagoya Mathematical Journal;2019-12-02