Classification of a family of ribbon 2-knots with trivial Alexander polynomial

DOI10.4134/CKMS.c170222zbMath1397.57044OpenAlexW2883206807MaRDI QIDQ4582709

Taizo Kanenobu, Toshio Sumi

Publication date: 24 August 2018

Full work available at URL: https://kyushu-u.pure.elsevier.com/en/publications/classification-of-a-family-of-ribbon-2-knots-with-trivial-alexand

zbMATH Keywords

twisted Alexander polynomialAlexander polynomialknot groupribbon 2-knot

Mathematics Subject Classification ID

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

Related Items (7)

Classification of ribbon 2-knots of 1-fusion with length up to six ⋮ Extension of Takahashi’s ribbon 2-knots with isomorphic groups ⋮ Presentation of a ribbon 2-knot ⋮ Unnamed Item ⋮ Twisted Alexander polynomial of a ribbon 2-knot of 1-fusion ⋮ Enumeration of ribbon 2-knots presented by virtual arcs with up to four crossings ⋮ Classification of ribbon 2-knots presented by virtual arcs with up to four crossings

Cites Work

• Twisted Alexander polynomial for finitely presentable groups
• On the Alexander polynomials of 2-spheres in a 4-sphere
• On simply knotted spheres in \(R^ 4\)
• On ribbon 2-knots: The 3-manifold bounded by the 2-knots
• NONABELIAN REPRESENTATIONS OF 2-BRIDGE KNOT GROUPS
• Holomorphically parameterized families of subgroups of sl(2, ℂ)
• CROSSING AND BASE NUMBERS OF RIBBON 2-KNOTS
• VIRTUAL KNOT PRESENTATION OF RIBBON TORUS-KNOTS
• Enumeration of ribbon 2-knots presented by virtual arcs with up to four crossings
• Representations of knot groups and twisted Alexander polynomials
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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