Twisted Alexander polynomial of a ribbon 2-knot of 1-fusion

zbMath1458.57018MaRDI QIDQ2215983

Toshio Sumi, Taizo Kanenobu

Publication date: 15 December 2020

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1602230459

zbMATH Keywords

irreducible representationAlexander polynomialribbon 2-knots

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Knot polynomials (57K14) Higher-dimensional knots and links (57K45)

Related Items (2)

Classification of ribbon 2-knots of 1-fusion with length up to six ⋮ Extension of Takahashi’s ribbon 2-knots with isomorphic groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds
• Twisted Alexander polynomials detect fibered 3-manifolds
• The Thurston norm, fibered manifolds and twisted Alexander polynomials
• On polynomial invariants of fibered 2-knots
• Twisted Alexander polynomial for finitely presentable groups
• Reidemeister torsion, twisted Alexander polynomial and fibered knots
• On the Alexander polynomials of 2-spheres in a 4-sphere
• On a characterization of knot groups of some spheres in \(R^4\)
• On ribbon 2-knots: The 3-manifold bounded by the 2-knots
• A Survey of Twisted Alexander Polynomials
• NONABELIAN REPRESENTATIONS OF 2-BRIDGE KNOT GROUPS
• Holomorphically parameterized families of subgroups of sl(2, ℂ)
• Ribbon Knots in S ₄
• Knots, Groups and 3-Manifolds (AM-84)
• Fibred knots and twisted Alexander invariants
• Classification of a family of ribbon 2-knots with trivial Alexander polynomial
• Enumeration of ribbon 2-knots presented by virtual arcs with up to four crossings
• Introduction to twisted Alexander polynomials and related topics
• Classification of ribbon 2-knots presented by virtual arcs with up to four crossings
• Knot Groups. Annals of Mathematics Studies. (AM-56)
• Representations of knot groups and twisted Alexander polynomials

This page was built for publication: Twisted Alexander polynomial of a ribbon 2-knot of 1-fusion