On Free Knots
Geometric Topology
2009-02-23 v2 Combinatorics
Abstract
We prove that for some knot-like objects one can easily recognize non-equivalence w.r.t. all Reidemeister moves by studying some equivalence classes modulo only 2nd Reidemeister moves. There are applications to virtual knots, graph-links and looped graphs.
Keywords
Cite
@article{arxiv.0901.2214,
title = {On Free Knots},
author = {Vassily Olegovich Manturov},
journal= {arXiv preprint arXiv:0901.2214},
year = {2009}
}
Comments
13 pages, 11 Figures