A relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion

DOI10.5802/aif.2352zbMath1158.57027arXivmath/0512267OpenAlexW1616815476MaRDI QIDQ2482863

Yoshikazu Yamaguchi

Publication date: 24 April 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512267

zbMATH Keywords

knotsReidemeister torsionrepresentation spacestwisted Alexander invariant

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10)

Related Items

Profinite rigidity for twisted Alexander polynomials, Twisted Alexander polynomials, character varieties and Reidemeister torsions of double branched covers, A vanishing identity of adjoint Reidemeister torsions of twist knots, Twisted Alexander polynomials with the adjoint action for some classes of knots, Asymptotics of twisted Alexander polynomials and hyperbolic volume, On the twisted Alexander polynomial for metabelian representations into \(\mathrm{SL}_2(\mathbb C)\), Twisted Alexander polynomials, chirality, and local deformations of hyperbolic 3-cone-manifolds, Twisted Neumann-Zagier matrices, The quantum content of the gluing equations, The colored Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of a twice-iterated torus knot, Adjoint twisted Alexander polynomial of twisted Whitehead links, Limit values of the non-acyclic Reidemeister torsion for knots, NON-ABELIAN REIDEMEISTER TORSION FOR TWIST KNOTS, Adjoint Reidemeister torsions of two-bridge knots

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