The L2-Alexander invariant detects the unknot

• Fathi Ben Aribi ^[1]
  1. [1] Institut de Mathématique de Jussieu, Paris Cedex 13, France
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 15, Nº Extra 1 (Special volume), 2016, págs. 683-708
• Idioma: inglés
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• Resumen

  • In this article, we present some of the properties of the L2-Alexander invariant of a knot defined in [6], some of which are similar to those of the classical Alexander polynomial. Notably we prove that the L2-Alexander invariant detects the trivial knot.