Achirality of knots and links
Geometric Topology
2007-05-23 v2
Abstract
We will develop various methods, some are of geometric nature and some are of algebraic nature, to detect the various achiralities of knots and links in . For example, we show that the twisted Whitehead double of a knot is achiral if and only if the double is the unknot or the figure eight knot, and we show that all non-trivial links with crossings are not achiral except the Borromean rings. A simple procedure for calculating the -function is given in terms of a crossing change formula and its initial values.
Keywords
Cite
@article{arxiv.math/9905158,
title = {Achirality of knots and links},
author = {Boju Jiang and Xiao-Song Lin and Shicheng Wang and Ying-Qing Wu},
journal= {arXiv preprint arXiv:math/9905158},
year = {2007}
}
Comments
amstex, 28 pages with 10 figures. Results in Section 5 are substantially improved