Diagrammatic unknotting of knots and links in the projective space
Geometric Topology
2007-05-23 v2
Abstract
In the classical knot theory there is a well-known notion of descending diagram. From an arbitrary diagram one can easily obtain, by some crossing changes, a descending diagram which is a diagram of the unknot or unlink. In this paper the notion of descending diagram for knots and links in the real space is extended to the case of nonoriented knots and links in the projective space. It is also shown that this notion cannot be extended to oriented links.
Cite
@article{arxiv.math/0207302,
title = {Diagrammatic unknotting of knots and links in the projective space},
author = {Maciej Mroczkowski},
journal= {arXiv preprint arXiv:math/0207302},
year = {2007}
}
Comments
15 pages, 9 figures, error corrected on page 9