The $ {L}^{2}$-Alexander invariant detects the unknot

Fathi Ben Aribi

doi:10.1016/j.crma.2013.03.009

Geometry/Topology

The

L^{2}

-Alexander invariant detects the unknot

Presented by: the Editorial Board

Fathi Ben Aribi ¹

¹Institut de mathématiques de Jussieu–Paris Rive gauche, université Paris-Diderot (Paris-7), UFR de mathématiques, case 7012, bâtiment Sophie-Germain, 75205 Paris cedex 13, France

Comptes Rendus. Mathématique, Volume 351 (2013) no. 5-6, pp. 215-219

Abstract (Original language)
Résumé

The aim of this note is to prove that the $L^{2}$ -Alexander invariant, a knot invariant defined using $L^{2}$ -torsions, detects the unknot.

Le but de cette note est de démontrer que lʼinvariant dʼAlexander $L^{2}$ , un invariant de nœuds défini via des torsions $L^{2}$ , détecte le nœud trivial.

Received: 2013-02-07
Accepted: 2013-03-15
Published online: 2013-03-01

DOI: 10.1016/j.crma.2013.03.009

Author's affiliations:

Fathi Ben Aribi ¹

¹ Institut de mathématiques de Jussieu–Paris Rive gauche, université Paris-Diderot (Paris-7), UFR de mathématiques, case 7012, bâtiment Sophie-Germain, 75205 Paris cedex 13, France

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Fathi Ben Aribi. The $ {L}^{2}$-Alexander invariant detects the unknot. Comptes Rendus. Mathématique, Volume 351 (2013) no. 5-6, pp. 215-219. doi: 10.1016/j.crma.2013.03.009

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