English

Natural Moves for Knots and Links

Geometric Topology 2007-07-29 v3

Abstract

We propose some natural generalizations of Reidemeister moves that do not increase the number of crossings in the generated diagrams. Experimentations make us conjecture that this class of monotonic moves is complete for computing canonical forms and then deciding isotopy.

Cite

@article{arxiv.0707.1155,
  title  = {Natural Moves for Knots and Links},
  author = {Serge Burckel},
  journal= {arXiv preprint arXiv:0707.1155},
  year   = {2007}
}

Comments

5 pages; 7 figures

R2 v1 2026-06-21T08:56:14.740Z