Achirality of knots and links
| dc.creator | Jiang, Boju | |
| dc.creator | Lin, Xiao-Song | |
| dc.creator | Wang, Shicheng | |
| dc.creator | Wu, Ying-Qing | |
| dc.date | 1999-05-25 | |
| dc.date | 1999-06-29 | |
| dc.date.accessioned | 2026-07-07T05:29:14Z | |
| dc.date.available | 2026-07-07T05:29:14Z | |
| dc.description | 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 $S^3$. 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 $\leq9$ crossings are not achiral except the Borromean rings. A simple procedure for calculating the $η$-function is given in terms of a crossing change formula and its initial values. | |
| dc.description | amstex, 28 pages with 10 figures. Results in Section 5 are substantially improved | |
| dc.identifier | https://arxiv.org/abs/math/9905158 | |
| dc.identifier | http://arxiv.org/abs/math/9905158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78558 | |
| dc.subject | Geometric Topology | |
| dc.title | Achirality of knots and links | |
| dc.type | text |