Dynamics of twisted Alexander invariants

DOI10.1016/j.topol.2009.08.016zbMath1200.57006arXiv0801.2118OpenAlexW2093543065MaRDI QIDQ1032922

Susan G. Williams, Daniel S. Silver

Publication date: 5 November 2009

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

Full work available at URL: https://arxiv.org/abs/0801.2118

zbMATH Keywords

twisted Alexander polynomialtopological entropytorsion numbershift mapexponential growth rateAlexander-Lin polynomialclassical link exteriorlogarithmic Mahler measuretwisted Alexander module

Mathematics Subject Classification ID

Topological entropy (37B40) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

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, Exponential growth of torsion in abelian coverings, Fox formulas for twisted Alexander invariants associated to representations of knot groups over rings of S-integers, TWISTED ALEXANDER INVARIANTS OF TWISTED LINKS, ON A THEOREM OF BURDE AND DE RHAM, Twisted Alexander Polynomials of Hyperbolic Knots, On reciprocality of twisted Alexander invariants

Cites Work

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• Mahler measure, links and homology growth
• The Thurston norm, fibered manifolds and twisted Alexander polynomials
• Twisted Alexander polynomials detect the unknot
• Mahler measure and entropy for commuting automorphisms of compact groups
• Heights of polynomials and entropy in algebraic dynamics
• Twisted Alexander invariants, Reidemeister torsion, and Casson-Gordon invariants
• Twisted Alexander polynomial for finitely presentable groups
• Torsion numbers of augmented groups with applications to knots and links.
• Coloring link diagrams with a continuous palette
• Twisted Alexander polynomials of periodic knots
• Free differential calculus. I: Derivation in the free group ring. II: The isomerphism problem of groups. III: Subgroups
• Twisted Alexander polynomial for the Braid group
• Determinants of Commuting-Block Matrices
• ALEXANDER–LIN TWISTED POLYNOMIALS
• Deforming Twist-Spun Knots
• EVALUATIONS OF THE TWISTED ALEXANDER POLYNOMIALS OF 2-BRIDGE KNOTS AT ±1
• A Survey of Twisted Alexander Polynomials
• Growth of order of Homology of Cyclic Branched Covers of Knots
• Nontrivial Alexander polynomials of knots and links
• The arithmetic structure of tetrahedral groups of hyperbolic isometries
• Fibred knots and twisted Alexander invariants
• TRACE FIELDS OF TWIST KNOTS
• Twisted Alexander polynomial for the Lawrence-Krammer representation
• Parabolic Representations of Knot Groups, I
• The Annihilator of a Knot Module
• Dynamical systems of algebraic origin
• Representations of knot groups and twisted Alexander polynomials