Introduction to twisted Alexander polynomials and related topics

DOI10.5802/wbln.10zbMath1422.57037arXiv1510.03216OpenAlexW2964217683MaRDI QIDQ5234875

Teruaki Kitano

Publication date: 7 October 2019

Published in: Winter Braids Lecture Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03216

zbMATH Keywords

fiberednessepimorphisms between knot groups

Mathematics Subject Classification ID

Related Items (3)

Twisted Alexander polynomials of torus links ⋮ Twisted Alexander polynomial of a ribbon 2-knot of 1-fusion ⋮ Virtual parity Alexander polynomial

Uses Software

• KnotInfo

Cites Work

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• Non-meridional epimorphisms of knot groups
• A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds
• Twisted Alexander polynomials of 2-bridge knots for parabolic representations
• Simon's conjecture for two-bridge knots
• Twisted Alexander polynomials detect fibered 3-manifolds
• Two complexes which are homeomorphic but combinatorially distinct
• The Thurston norm, fibered manifolds and twisted Alexander polynomials
• Twisted Alexander polynomials detect the unknot
• An imitation theory of manifolds
• A duality theorem for Reidemeister torsion
• Twisted Alexander invariants, Reidemeister torsion, and Casson-Gordon invariants
• Twisted Alexander polynomial for finitely presentable groups
• On a conjecture of Dunfield, Friedl and Jackson
• Reidemeister torsion, twisted Alexander polynomial and fibered knots
• Über das Geschlecht von Knoten
• Twisted Alexander polynomial and Reidemeister torsion
• Singularities of 2-spheres in 4-space and cobordism of knots
• Introduction aux polynômes d'un nœud
• Twisted Alexander polynomials and surjectivity of a group homomorphism
• Free differential calculus. I: Derivation in the free group ring
• On character varieties, sets of discrete characters, and nonzero degree maps
• Twisted Alexander polynomials for SL(2;C)-irreducible representations of torus knots
• A Survey of Twisted Alexander Polynomials
• Presentation length and Simon’s conjecture
• NONABELIAN REPRESENTATIONS OF 2-BRIDGE KNOT GROUPS
• A Partial Order in the Knot Table
• KNOT GROUP EPIMORPHISMS
• Knots are Determined by Their Complements
• Fibred knots and twisted Alexander invariants
• Twisted Alexander Polynomials of Hyperbolic Knots
• Certifying the Thurston norm via SL(2, C)-twisted homology
• Epimorphisms between 2-bridge link groups
• A PARTIAL ORDER ON THE SET OF PRIME KNOTS WITH UP TO 11 CROSSINGS
• Twisted Alexander polynomials and a partial order on the set of prime knots
• Whitehead torsion
• On Stallings Fibrations
• Knots
• Representations of knot groups and twisted Alexander polynomials

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