The aim of this note is to prove that the L2-Alexander invariant, a knot invariant defined using L2-torsions, detects the unknot.
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Université Paris 7
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Ben Aribi, F. (2013). The L2-Alexander invariant detects the unknot. Comptes rendus - Mathématique, 351(5-6), 215-219. https://doi.org/10.1016/j.crma.2013.03.009 (Original work published 2013)