UNKNOTTING NUMBER AND GENUS OF 3-BRAID KNOTS

DOI10.1142/S0218216513500478zbMath1280.57005arXiv1305.3455OpenAlexW3105729702MaRDI QIDQ2850716

Eon-Kyung Lee, Sang Jin Lee

Publication date: 30 September 2013

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

Full work available at URL: https://arxiv.org/abs/1305.3455

zbMATH Keywords

knotgenusbraid groupunknotting number

Mathematics Subject Classification ID

Related Items (3)

Remarks relating to the ascending number and geometrical invariants of a knot ⋮ 3-braid knots with maximal 4-genus ⋮ 3-braid knots do not admit purely cosmetic surgeries

Cites Work

• Khovanov homology and the slice genus
• Braided surfaces and Seifert ribbons for closed braids
• Unknotting number one knots are prime
• A new approach to the word and conjugacy problems in the braid groups
• Polynomial values, the linking form and unknotting numbers
• Unknotting number, genus and companion tori
• Quasipositivity as an obstruction to sliceness
• THE GENUS OF CLOSED 3-BRAIDS
• CLOSED 3-BRAIDS ARE NEARLY FIBRED

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