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Über eine Klasse von Brezelknoten

On a class of pretzel knots

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Abstract

The paper gives a classification of pretzel knots (p,qq,rr) with one even cross number. The Alexander polynomial is computed in general and it is proved that its degree is always twice the genus of the knot. The classification does not include amphicheirality.

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Literatur

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Authors and Affiliations

  1. Fachbereich Mathematik, Johann Wolfgang Goethe-Universität, Robert-Mayer-Straße 6–10, D-6000, Frankfurt am Main, Bundesrepublik Deutschland

    Günter Wenzel

Authors
  1. Günter Wenzel
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Mit 3 Abbildungen

Diese Resultate sind in meiner Dissertation “Die Längskreisinvariante und Brezelknoten”, Frankfurt a. M. 1978, enthalten.

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Wenzel, G. Über eine Klasse von Brezelknoten. Monatshefte für Mathematik 88, 69–79 (1979). https://doi.org/10.1007/BF01305858

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  • DOI: https://doi.org/10.1007/BF01305858

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