Every Reidemeister move is needed for each knot type
Geometric Topology
2007-05-23 v2
Abstract
We show that every knot type admits a pair of diagrams that cannot be made identical without using Reidemeister Omega_2-moves. We also show that our proof is compatible with known results for the other move types, in the sense that every knot type admits a pair of diagrams that cannot be made identical without using all of the move types.
Cite
@article{arxiv.math/0404145,
title = {Every Reidemeister move is needed for each knot type},
author = {Tobias J. Hagge},
journal= {arXiv preprint arXiv:math/0404145},
year = {2007}
}
Comments
8 pages, 8 figures. Changed title and added mention of a partial result by Vassily Manturov