The aim of this note is to prove that the -Alexander invariant, a knot invariant defined using -torsions, detects the unknot.
Le but de cette note est de démontrer que lʼinvariant dʼAlexander , un invariant de nœuds défini via des torsions , détecte le nœud trivial.
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@article{CRMATH_2013__351_5-6_215_0, author = {Ben Aribi, Fathi}, title = {The $ {L}^{2}${-Alexander} invariant detects the unknot}, journal = {Comptes Rendus. Math\'ematique}, pages = {215--219}, publisher = {Elsevier}, volume = {351}, number = {5-6}, year = {2013}, doi = {10.1016/j.crma.2013.03.009}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2013.03.009/} }
TY - JOUR AU - Ben Aribi, Fathi TI - The $ {L}^{2}$-Alexander invariant detects the unknot JO - Comptes Rendus. Mathématique PY - 2013 SP - 215 EP - 219 VL - 351 IS - 5-6 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2013.03.009/ DO - 10.1016/j.crma.2013.03.009 LA - en ID - CRMATH_2013__351_5-6_215_0 ER -
%0 Journal Article %A Ben Aribi, Fathi %T The $ {L}^{2}$-Alexander invariant detects the unknot %J Comptes Rendus. Mathématique %D 2013 %P 215-219 %V 351 %N 5-6 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2013.03.009/ %R 10.1016/j.crma.2013.03.009 %G en %F CRMATH_2013__351_5-6_215_0
Ben Aribi, Fathi. 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. http://archive.numdam.org/articles/10.1016/j.crma.2013.03.009/
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