On the swap move of letters in words and the forbidden moves in virtual diagrams

DOI10.1142/s021821652350058xzbMath1522.68440MaRDI QIDQ6056828

Tomonori Fukunaga

Publication date: 4 October 2023

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

zbMATH Keywords

local deformationsnanowordsforbidden movesvirtual diagrams

Mathematics Subject Classification ID

Combinatorics on words (68R15) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

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• Parity in knot theory and graph-links
• Homotopy invariants of Gauss words
• Finite type invariants of nanowords and nanophrases
• Minimal generating sets of Reidemeister moves
• Cobordisms of free knots
• Lectures on topology of words
• Virtual strings.
• Virtual knot theory
• Knots and words
• The Forbidden Number of a Knot
• FORBIDDEN MOVES UNKNOT A VIRTUAL KNOT
• UNKNOTTING VIRTUAL KNOTS WITH GAUSS DIAGRAM FORBIDDEN MOVES
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• Virtual Knots
• Encyclopedia of Knot Theory
• Topology of words