The Dabkowski-Sahi invariant and 4-moves for links

DOI10.1007/S10711-023-00780-4OpenAlexW3026816252MaRDI QIDQ2686984

Kodai Wada, Akira Yasuhara, Haruko Aida Miyazawa

Publication date: 1 March 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11793

zbMATH Keywords

linkMagnus expansionlink-homotopywelded link4-move

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

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• Whitehead double and Milnor invariants
• On Fox's congruence classes of knots. II
• On Fox's congruence classes of knots
• Finite-type invariants of classical and virtual knots
• Virtual knot theory
• Burnside obstructions to the Montesinos-Nakanishi 3-move conjecture
• The braid-permutation group
• Classification of string links up to \(2n\)-moves and link-homotopy
• Link groups
• On Slavik Jablan’s work on 4-moves
• 4-MOVES AND THE DABKOWSKI–SAHI INVARIANT FOR KNOTS
• ON 4-MOVE EQUIVALENCE CLASSES OF KNOTS AND LINKS OF TWO COMPONENTS
• Burnside groups and 𝑛-moves for links
• NEW INVARIANT OF 4-MOVES
• Unexpected connections between Burnside groups and knot theory

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