S-equivalence of knots

Kearton, C.

Abstract

S-equivalence of classical knots is investigated, as well as its relationship with mutation and the unknotting number. Furthermore, we identify the kernel of Bredon's double suspension map, and give a geometric relation between slice and algebraically slice knots. Finally, we show that every knot is S-equivalent to a prime knot.

Citation

Kearton, C. (2004). S-equivalence of knots. Journal of Knot Theory and Its Ramifications, 13(06), 709-717. https://doi.org/10.1142/s0218216504003408

• Journal Article Type: Article
• Online Publication Date: Sep 1, 2004
• Publication Date: Sep 1, 2004
• Deposit Date: Feb 15, 2008
• Journal: Journal of Knot Theory and Its Ramifications
• Print ISSN: 0218-2165
• Electronic ISSN: 1793-6527
• Publisher: World Scientific Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 13
• Issue: 06
• Pages: 709-717
• DOI: https://doi.org/10.1142/s0218216504003408
• Keywords: S-equivalence, Mutation, Unknotting number, Doubled-delta move, Algebraically slice, Prime knot.
• Public URL: https://durham-repository.worktribe.com/output/1567596