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On the Chirality of Torus Curves and Knots

Wagnière, Georges

In: Journal of Mathematical Chemistry, 2007, vol. 41, no. 1, p. 27-31

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    Titre
    • On the Chirality of Torus Curves and Knots
    Auteur
    • Wagnière, Georges. Institute of Physical Chemistry, University of Zurich, Winterthurerstr. 190, CH-8057, Zurich, Switzerland
    Type de document
    • Postprint
    Langue
    • Inglese
    Publié dans
    • Journal of Mathematical Chemistry, 2007, vol. 41, no. 1, p. 27-31. Springer Netherlands
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:312699
    Summary
    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