The fundamental multiple conjugation quandle of a handlebody-link

DOI10.2969/jmsj/84308430OpenAlexW3202905050MaRDI QIDQ2073682

Atsushi Ishii

Publication date: 7 February 2022

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/84308430

zbMATH Keywords

presentationhandlebody-knothandlebody-linkmultiple conjugation quandlefundamental multiple conjugation quandleTietze transformation

Mathematics Subject Classification ID

Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Related Items (1)

On sufficiency of the definition of MCQ Alexander pairs in terms of invariants for handlebody-knots

Cites Work

• A multiple conjugation quandle and handlebody-knots
• Moves and invariants for knotted handlebodies
• A classifying invariant of knots, the knot quandle
• Twisted Alexander polynomial for finitely presentable groups
• Free differential calculus. I: Derivation in the free group ring
• A TABLE OF GENUS TWO HANDLEBODY-KNOTS UP TO SIX CROSSINGS
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• Derivatives with Alexander pairs for quandles
• Representations of knot groups and twisted Alexander polynomials

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