Abstract
The aim of this paper is to classify unknotted ribbons in the plane and on the sphere up to regular isotopy.
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References
L. H. Kauffman, “An Invariant of Regular Isotopy,” Trans. Amer. Math. Soc. 318, 417–471 (1990).
S. Matveev, “Straightening Contours on the Plane,” Kvant 4, 22–28 (1983).
B. Trace, “On the ReidemeisterMoves of a Classical Knot,” Proc. Amer. Math. Soc. 89 (4), 722–724 (1983).
O. Ostlund, “Invariants of Knot Diagrams and Relations among ReidemeisterMoves,” Journal of Knot Theory and Its Ramifications 10 (8), 1215–1227 (2001).
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Wang, X. Classification of Unknotted Ribbons in the Plane and on the Sphere. Math Notes 105, 115–122 (2019). https://doi.org/10.1134/S0001434619010127
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DOI: https://doi.org/10.1134/S0001434619010127