NON-CONJUGATE BRAIDS WHOSE CLOSURES RESULT IN THE SAME KNOT

DOI10.1142/S0218216510007735zbMath1184.57008OpenAlexW1968362673MaRDI QIDQ5189122

Reiko Shinjo

Publication date: 8 March 2010

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

Full work available at URL: https://doi.org/10.1142/s0218216510007735

zbMATH Keywords

braidConway polynomialexchange movedelta movenon-conjugate

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36)

Related Items (5)

Non-conjugate braids with the same closure link from density of representations ⋮ EXCHANGE MOVES AND NONCONJUGATE BRAID REPRESENTATIVES OF KNOTS ⋮ Infinite sequences of mutually non-conjugate surface braids representing same surface-links ⋮ On non-conjugate braids with the same closure link ⋮ A NONDEGENERATE EXCHANGE MOVE ALWAYS PRODUCES INFINITELY MANY NONCONJUGATE BRAIDS

Cites Work

• Studying links via closed braids. VI: A non-finiteness theorem
• On a certain move generating link-homology
• Infinitely many fibred knots having the same Alexander polynomial
• Studying links via closed braids. III: Classifying links which are closed 3-braids
• A small state sum for knots
• Theory of braids
• An irreducible 4-string braid with unknotted closure
• THE BRAID GROUP AND OTHER GROUPS

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