C. Kearton
S-equivalence of knots
Kearton, C.
Authors
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. |
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