The $L^2$-Alexander invariant detects the unknot
Geometric Topology
2014-02-10 v2 Operator Algebras
Abstract
In this article, we present some of the properties of the -Alexander invariant of a knot defined by Li and Zhang, some of which are similar to those of the classical Alexander polynomial. Notably we prove that the -Alexander invariant detects the trivial knot.
Keywords
Cite
@article{arxiv.1311.7342,
title = {The $L^2$-Alexander invariant detects the unknot},
author = {Fathi Ben Aribi},
journal= {arXiv preprint arXiv:1311.7342},
year = {2014}
}
Comments
Some typos were corrected, and we added formulas for the invariant of the inverse knot or the mirror image of a knot