×

Classification of unknotted ribbons in the plane and on the sphere. (English) Zbl 1419.57020

Summary: The aim of this paper is to classify unknotted ribbons in the plane and on the sphere up to regular isotopy.

MSC:

57M25 Knots and links in the \(3\)-sphere (MSC2010)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] L. H. Kauffman, “An Invariant of Regular Isotopy,” Trans. Amer. Math. Soc. 318, 417-471 (1990). · Zbl 0763.57004 · doi:10.1090/S0002-9947-1990-0958895-7
[2] S. Matveev, “Straightening Contours on the Plane,” Kvant 4, 22-28 (1983).
[3] B. Trace, “On the ReidemeisterMoves of a Classical Knot,” Proc. Amer. Math. Soc. 89 (4), 722-724 (1983). · Zbl 0554.57003 · doi:10.1090/S0002-9939-1983-0719004-4
[4] O. Ostlund, “Invariants of Knot Diagrams and Relations among ReidemeisterMoves,” Journal of Knot Theory and Its Ramifications 10 (8), 1215-1227 (2001). · Zbl 0998.57021 · doi:10.1142/S0218216501001402
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.