English

A non-degenerate exchange move always produces infinitely many non-conjugate braids

Geometric Topology 2021-11-30 v1

Abstract

We show that if a link LL has a closed nn-braid representative admitting non-degenerate exchange move, an exchange move that does not obviously preserve the conjugacy class, LL has infinitely many non-conjugate closed nn-braid representatives.

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Cite

@article{arxiv.1908.01485,
  title  = {A non-degenerate exchange move always produces infinitely many non-conjugate braids},
  author = {Tetsuya Ito},
  journal= {arXiv preprint arXiv:1908.01485},
  year   = {2021}
}

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3 pages