Ribbon 2-Knots Digest
November-27-08
6:25 PM
STABLE EQUIVALENCE OF RIBBON PRESENTATIONS
Author(s):
YOSHIHIKO MARUMOTO
We introduce a ribbon presentation to describe a ribbon knot, and equivalences between them. Superspun knots of classical knots are well known to be ribbon knots, and we give a construction of ribbon presentations of the knots by means of classical knot diagrams. We can then extend the classical Reidemeister moves into higher dimensions, and we prove that the presentations of a superspun knot are stably equivalent by using these moves.
Journal of Knot Theory and Its Ramifications (JKTR)  
Year: 1992 Vol: 1 Issue: 3 (September 1992) Page: 241 - 251
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Motions of trivial links, and ribbon knots.
Yoshihiko Marumoto, Yoshiaki Uchida, and Tomoyuki Yasuda
Source: Michigan Math. J. Volume 42, Issue 3 (1995), 463-477. 
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