Alexander and Markov theorems for generalized knots, II generalized braids

DOI10.1142/S0218216522400107zbMath1504.57014OpenAlexW4280584552WikidataQ113777268 ScholiaQ113777268MaRDI QIDQ5099117

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Publication date: 31 August 2022

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

Full work available at URL: https://doi.org/10.1142/s0218216522400107

zbMATH Keywords

generalised braid groupsdoodlesgeneralised knot theory

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

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• Representation of links by braids: A new algorithm
• The minimal number of Seifert circles equals the braid index of a link
• Markov's theorem in 3-manifolds
• Virtual knot theory
• Über das Geschlecht von Knoten
• The braid-permutation group
• Braid presentation of virtual knots and welded knots
• Threading knot diagrams
• Doodle groups
• UNKNOTTING VIRTUAL KNOTS WITH GAUSS DIAGRAM FORBIDDEN MOVES
• Doodles on surfaces
• Virtual Knots
• New points of view in knot theory
• Generalised Biquandles for Generalised Knot Theories
• THE BRAID GROUP AND OTHER GROUPS

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