par Cerf, Corinne 
Référence Journal of knot theory and its ramifications, 6, 5, page (621-632)
Publication Publié, 1997-10
Référence Journal of knot theory and its ramifications, 6, 5, page (621-632)
Publication Publié, 1997-10
Article révisé par les pairs
| Résumé : | In this paper, we show how to split the writhe of reduced projections of oriented alternating links into two parts, called the nullification writhe ω x, and the remaining writhe ω y, such that the sum of these quantities equals the writhe w and each quantity remains an invariant of isotopy. The chirality of oriented alternating links can be detected by a non-zero ω x or ω y, which constitutes an improvement compared to the detection of chirality by a non-zero ω. An interesting corollary is that all oriented alternating non-split links with an even number of components are chiral, a result that also follows from properties of the Conway polynomial. |
