Representations of flat virtual braids which do not preserve the forbidden relations

DOI10.1142/s0218216523500931arXiv2010.03162OpenAlexW3092523305MaRDI QIDQ6150731

Unnamed Author, Timur R. Nasybullov, Valeriy G. Bardakov, Unnamed Author, Unnamed Author, Andrei Vesnin, Unnamed Author, Maxim Ivanov, Ivan Emel'yanenkov, Unnamed Author, Unnamed Author

Publication date: 6 March 2024

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

Full work available at URL: https://arxiv.org/abs/2010.03162

zbMATH Keywords

flat virtual braidsrepresentations by automorphismsbraid-like groups

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Representations of groups as automorphism groups of algebraic systems (20F29) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

• Unnamed Item
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• Combinatorial properties of virtual braids.
• A new approach to the word and conjugacy problems in the braid groups
• Finite-type invariants of classical and virtual knots
• Extensions of some classical local moves on knot diagrams
• Virtual link groups
• A representation of virtual braids by automorphisms
• Virtual strings.
• Virtual knot theory
• The braid-permutation group
• Virtually symmetric representations and marked Gauss diagrams
• Virtual and universal braid groups, their quotients and representations
• Multi-switches, representations of virtual braids, and invariants of virtual links
• Braid presentation of virtual knots and welded knots
• A simple solution to the word problem for virtual braid groups
• Virtual braids and permutations
• Multi-switches and virtual knot invariants
• Classification of fused links
• Representations of virtual braids by automorphisms and virtual knot groups
• Unrestricted virtual braids, fused links and other quotients of virtual braid groups
• ALEXANDER GROUPS AND VIRTUAL LINKS
• Two-variable polynomial invariants of virtual knots arising from flat virtual knot invariants
• MARKOV THEOREM FOR FREE LINKS
• The virtual and universal braids
• F-polynomials of tabulated virtual knots
• Unsolved problems in virtual knot theory and combinatorial knot theory
• Alexander invariants for virtual knots
• Topology of words
• VIRTUAL BRAIDS AND THE L-MOVE

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