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- Title
Infinitely many ribbon knots with the same fundamental group.
- Authors
Suciu, Alexander I.
- Abstract
We work in the DIFF category. A knot K = (Sn+2, Sn) is a ribbon knot if Sn bounds an immersed disc Dn+1 →Sn+2 with no triple points and such that the components of the singular set are n-discs whose boundary (n – l)-spheres either lie on Sn or are disjoint from Sn. Pushing Dn+1 into Dn+3 produces a ribbon disc pair D = (Dn+3, Dn+1), with the ribbon knot (Sn+2, Sn) on its boundary. The double of a ribbon (n+1)-disc pair is an (n + l)-ribbon knot. Every (n+l)-ribbon knot is obtained in this manner.
- Publication
Mathematical Proceedings of the Cambridge Philosophical Society, 1985, Vol 98, Issue 3, p481
- ISSN
0305-0041
- Publication type
Article
- DOI
10.1017/S0305004100063684