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Ribbon Knots in S 4
Author(s) -
Cochran Tim
Publication year - 1983
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-28.3.563
Subject(s) - ribbon , geometry , art , computer graphics (images) , mathematics , computer science
Our main results are several new obstructions to knotted 2‐spheres' in S 4 being ribbon knots and the application of these to characterize fibered ribbon knots in S 4 . For knots which bound punctured S 1 × S 2 , all of the known ribbon invariants vanish. We produce a new obstruction which detects the first known non‐ribbon knots in this class. Finally, we show that ribbon knots are naturally associated with links whose groups are free, but not on their meridians.