On calculations of the twisted Alexander ideals for spatial graphs, handlebody-knots and surface-links

zbMath1394.57001arXiv1503.07969MaRDI QIDQ1750368

Kanako Oshiro, Ryo Nikkuni, Atsushi Ishii

Publication date: 18 May 2018

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

Full work available at URL: https://arxiv.org/abs/1503.07969

zbMATH Keywords

spatial graphstheta curvesurface-knotshandlebody-knotstwisted Alexander idealsYoshikawa's table

Mathematics Subject Classification ID

Related Items (6)

Affine extensions of multiple conjugation quandles and augmented MCQ Alexander pairs ⋮ Handlebody-knots and development of quandle theory ⋮ On sufficiency of the definition of MCQ Alexander pairs in terms of invariants for handlebody-knots ⋮ Twisted Alexander ideals and the isomorphism problem for a family of parafree groups ⋮ Minimal hard surface-unlink and classical unlink diagrams ⋮ An invariant derived from the Alexander polynomial for handlebody-knots

Cites Work

• Non-orientable surfaces in 4-space
• Twisted Alexander polynomial for finitely presentable groups
• An enumeration of surfaces in four-space
• Surfaces in 4-space
• Singularities of 2-spheres in 4-space and cobordism of knots
• On elementary ideals of polyhedra in the 3-sphere
• Free differential calculus. I: Derivation in the free group ring
• A Survey of Twisted Alexander Polynomials
• A TABLE OF GENUS TWO HANDLEBODY-KNOTS UP TO SIX CROSSINGS
• Knotted Symmetric Graphs
• COLORING SPATIAL GRAPHS
• Representations of knot groups and twisted Alexander polynomials
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