Twisted Alexander polynomials, character varieties and Reidemeister torsions of double branched covers

DOI10.1016/j.topol.2016.03.021zbMath1351.57021arXiv1205.1977OpenAlexW2963458445MaRDI QIDQ272886

Yoshikazu Yamaguchi

Publication date: 21 April 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1977

zbMATH Keywords

knotstwisted Alexander polynomialReidemeister torsioncharacter varietiesbranched coveringsmetabelian representations

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Cites Work

• Unnamed Item
• Unnamed Item
• On the twisted Alexander polynomial for metabelian representations into \(\mathrm{SL}_2(\mathbb C)\)
• The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary
• Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation
• Simon's conjecture for two-bridge knots
• Varieties of group representations and splittings of 3-manifolds
• Incompressible surfaces in 2-bridge knot complements
• Twisted Alexander invariants, Reidemeister torsion, and Casson-Gordon invariants
• Twisted Alexander polynomial for finitely presentable groups
• On the geometry of the slice of trace-free \(SL_2(\mathbb{C})\)-characters of a knot group
• A relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion
• Non abelian Reidemeister torsion and volume form on the SU(2)-representation space of knot groups.
• Twisted Alexander polynomials for SL(2;C)-irreducible representations of torus knots
• NONABELIAN REPRESENTATIONS OF 2-BRIDGE KNOT GROUPS
• Reidemeister torsion in knot theory
• Torsion de Reidemeister pour les variétés hyperboliques
• Mayberry-Murasugi’s formula for links in homology 3-spheres
• Whitehead torsion
• Representations of knot groups and twisted Alexander polynomials