Classification of fused links

DOI10.1142/S0218216516500760zbMath1383.57012arXiv1511.00136OpenAlexW2516414389MaRDI QIDQ2954324

Timur R. Nasybullov

Publication date: 12 January 2017

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

Full work available at URL: https://arxiv.org/abs/1511.00136

zbMATH Keywords

unrestricted virtual braid groupfused links

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36)

Related Items (9)

Extensions of some classical local moves on knot diagrams ⋮ Virtual and universal braid groups, their quotients and representations ⋮ A journey through loop braid groups ⋮ Unrestricted virtual braids and crystallographic braid groups ⋮ Classification of 2-component virtual links up to ${\varXi }$-moves ⋮ Representations of flat virtual braids which do not preserve the forbidden relations ⋮ Unnamed Item ⋮ Generalized virtualization on welded links ⋮ Classification of virtual string links up to cobordism

Cites Work

• Braid presentation of virtual knots and welded knots
• Introduction to Vassiliev Knot Invariants
• Classifying links under fused isotopy
• Unrestricted virtual braids, fused links and other quotients of virtual braid groups
• Knots are Determined by Their Complements
• FORBIDDEN MOVES UNKNOT A VIRTUAL KNOT
• ON HOMOLOGY OF VIRTUAL BRAIDS AND BURAU REPRESENTATION
• VIRTUAL BRAIDS AND THE L-MOVE

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