Wagnière, Georges H (2007). On the chirality of torus curves and knots. Journal of mathematical chemistry, 41(1):27-31.
As is well known, a (p, q) torus knot is topologically equivalent to a (q, p) torus knot. The sign of the writhe number, which characterizes the topological chirality, must evidently be the same in both cases. We here show by an analytic criterion related to the torsion that a (p, q) torus curve and a (q, p) torus curve have opposite chirality, although they are not enantiomers
As is well known, a (p, q) torus knot is topologically equivalent to a (q, p) torus knot. The sign of the writhe number, which characterizes the topological chirality, must evidently be the same in both cases. We here show by an analytic criterion related to the torsion that a (p, q) torus curve and a (q, p) torus curve have opposite chirality, although they are not enantiomers
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | National licences > 142-005 |
| Dewey Decimal Classification: | Unspecified |
| Scopus Subject Areas: | Physical Sciences > General Chemistry
Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 18 January 2007 |
| Deposited On: | 26 Nov 2018 15:50 |
| Last Modified: | 28 Nov 2023 08:24 |
| Publisher: | Springer |
| ISSN: | 0259-9791 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s10910-006-9086-9 |
Wagnière, Georges H