Arc-presentations of links. Monotonic simplification
Geometric Topology
2013-10-22 v3
Abstract
We prove that any arc-presentation of the unknot admits a monotonic simplification by elementary moves; this yields a simple algorithm for recognizing the unknot. We obtain similar results for split links and composite links.
Keywords
Cite
@article{arxiv.math/0208153,
title = {Arc-presentations of links. Monotonic simplification},
author = {Ivan Dynnikov},
journal= {arXiv preprint arXiv:math/0208153},
year = {2013}
}
Comments
latex, 45 pages, 34 figures; a mistake pointed out by W.Menasco and A.Sikora has been corrected