EVALUATIONS OF THE TWISTED ALEXANDER POLYNOMIALS OF 2-BRIDGE KNOTS AT ±1

DOI10.1142/S0218216510008418zbMath1207.57019arXiv0903.1689OpenAlexW2964087655MaRDI QIDQ3059679

Mikami Hirasawa, Kunio Murasugi

Publication date: 26 November 2010

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1689

zbMATH Keywords

twisted Alexander polynomialparabolic representation2-bridge knot

Mathematics Subject Classification ID

Related Items

Profinite rigidity for twisted Alexander polynomials, The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary, Twisted Alexander polynomials of 2-bridge knots associated to dihedral representations, Twisted Alexander Polynomials of Hyperbolic Knots, Dynamics of twisted Alexander invariants

Cites Work

• Punctured torus groups and 2-bridge knot groups. I
• Twisted knot polynomials: inversion, mutation and concordance
• Twisted Alexander invariants, Reidemeister torsion, and Casson-Gordon invariants
• Twisted Alexander polynomial for finitely presentable groups
• Twisted Alexander polynomial and Reidemeister torsion
• Twisted Alexander polynomials of periodic knots
• Twisted Alexander polynomials and surjectivity of a group homomorphism
• Two-Bridge Knots with Property Q
• Fibred knots and twisted Alexander invariants
• Epimorphisms between 2-bridge link groups
• Representations of knot groups and twisted Alexander polynomials