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S-equivalence of knots.

Kearton, C. (2004) 'S-equivalence of knots.', Journal of knot theory and its ramifications., 13 (6). pp. 709-717.

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.

Item Type:Article
Keywords:S-equivalence, Mutation, Unknotting number, Doubled-delta move, Algebraically slice, Prime knot.
Full text:Full text not available from this repository.
Publisher Web site:http://dx.doi.org/10.1142/S0218216504003408
Record Created:15 Feb 2008
Last Modified:08 Apr 2009 16:30

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