https://perso.math.univ-toulouse.fr/jraimbau/2016/10/09/l2-invariants-and-3-manifolds-ii-stefan-friedl/ Un site utilisant Blog IMT Tue, 19 Mar 2019 16:58:41 +0000 hourly 1 http://wordpress.org/?v=4.1 https://perso.math.univ-toulouse.fr/jraimbau/2016/10/09/l2-invariants-and-3-manifolds-ii-stefan-friedl/#comment-57 Sat, 15 Oct 2016 12:57:23 +0000 http://perso.math.univ-toulouse.fr/jraimbau/?p=302#comment-57 […] In the case where ( G = {mathbb Z}^m ) is a free Abelian group then the Fuglede-Kadison determinant can be computed to be the Mahler measure of the classical determinant. In particular, when ( G = {mathbb Z} ) and for the complex in ( (ast) ) above the ( L^2 )-Alexander torsion is given by: [ tau^{(2)}(N; phi, phi) = Ct^d prod_{i=1}^d max(1, t^{-1}|z_i|) ] where the ( z_i ) are roots of the polynomial ( det(phi(A)) ) (see Stefan Friedl’s second lecture). […]

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