Exchange moves and braid representations of links
Geometric Topology
2011-03-15 v1
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.
Cite
@article{arxiv.1103.2510,
title = {Exchange moves and braid representations of links},
author = {Reiko Shinjo and Alexander Stoimenow},
journal= {arXiv preprint arXiv:1103.2510},
year = {2011}
}
Comments
25 pages, 17 figures