Twisted Alexander polynomials of twist knots for nonabelian representations

DOI10.1016/j.bulsci.2008.04.001zbMath1147.57018OpenAlexW1981267215MaRDI QIDQ932529

Takayuki Morifuji

Publication date: 11 July 2008

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2008.04.001

zbMATH Keywords

twisted Alexander polynomialrepresentation spacetwist knot

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05)

Related Items

TWISTED ALEXANDER POLYNOMIALS AND CHARACTER VARIETIES OF 2-BRIDGE KNOT GROUPS, Finiteness of the image of the Reidemeister torsion of a splice, Twisted Alexander Polynomials of Hyperbolic Knots, Computing twisted Alexander polynomials for Montesinos links, On a conjecture of Dunfield, Friedl and Jackson, TWISTED ALEXANDER POLYNOMIALS ON CURVES IN CHARACTER VARIETIES OF KNOT GROUPS, Hyperbolic torsion polynomials of pretzel knots, Connected sum of representations of knot groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Varieties of group representations and splittings of 3-manifolds
• The Thurston norm, fibered manifolds and twisted Alexander polynomials
• Twisted Alexander polynomials detect the unknot
• Twisted knot polynomials: inversion, mutation and concordance
• Twisted Alexander invariants, Reidemeister torsion, and Casson-Gordon invariants
• Twisted Alexander polynomial for finitely presentable groups
• Reidemeister torsion, twisted Alexander polynomial and fibered knots
• Twisted Alexander polynomial and Reidemeister torsion
• A Torres condition for twisted Alexander polynomials
• Twisted Alexander polynomials of periodic knots
• Twisted Alexander polynomials and surjectivity of a group homomorphism
• Twisted Alexander polynomial for the Braid group
• NONABELIAN REPRESENTATIONS OF 2-BRIDGE KNOT GROUPS
• A Partial Order in the Knot Table
• Nontrivial Alexander polynomials of knots and links
• NON-ABELIAN REIDEMEISTER TORSION FOR TWIST KNOTS
• Fibred knots and twisted Alexander invariants
• A FORMULA FOR THE A-POLYNOMIAL OF TWIST KNOTS
• Twisted Alexander polynomials of plane algebraic curves
• Novikov homology, twisted Alexander polynomials, and Thurston cones
• A twisted invariant for finitely presentable groups
• Representations of knot groups and twisted Alexander polynomials