Twisted Alexander polynomials with the adjoint action for some classes of knots

DOI10.1142/S0218216514500515zbMath1305.57031arXiv1302.1632OpenAlexW2963788034MaRDI QIDQ2934370

Anh T. Tran

Publication date: 12 December 2014

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

Full work available at URL: https://arxiv.org/abs/1302.1632

zbMATH Keywords

twisted Alexander polynomialadjoint actionReidemeister torsiontorus knottwist knot

Mathematics Subject Classification ID

Related Items

A vanishing identity of adjoint Reidemeister torsions of twist knots ⋮ On adjoint torsion polynomial of genus one two-bridge knots ⋮ Adjoint twisted Alexander polynomial of twisted Whitehead links ⋮ Computing twisted Alexander polynomials for Montesinos links ⋮ Adjoint twisted Alexander polynomials of genus one two-bridge knots ⋮ On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots ⋮ Adjoint Reidemeister torsions of two-bridge knots

Cites Work

• Twisted Alexander invariants, Reidemeister torsion, and Casson-Gordon invariants
• Twisted Alexander polynomial for finitely presentable groups
• Twisted Alexander polynomial and Reidemeister torsion
• A relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion
• NONABELIAN REPRESENTATIONS OF 2-BRIDGE KNOT GROUPS
• NON-ABELIAN REIDEMEISTER TORSION FOR TWIST KNOTS
• Representations of Knot Groups in SU(2)
• Torsion de Reidemeister pour les variétés hyperboliques
• COMMENSURABILITY CLASSES OF TWIST KNOTS
• Non Abelian Twisted Reidemeister Torsion for Fibered Knots
• Whitehead torsion
• Representations of knot groups and twisted Alexander polynomials

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