A note on twist spun knots.
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Publication date
1986
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American Mathematical Society
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R. H. Fox, A quick trip through knot theory, Topology of 3-Manifolds and Related Topics (M. K. Fort, Jr., ed.), Prentice-Hall, Englewood Cliffs, N. J., 1962, pp. 110-167.
S. J. Lomonaco, Jr., The homotopy groups of knots. I. How to compute the algebraic 2-type, Pacific J. Math. 95 (1981), 349-390.
E. C. Zeeman, Twisting spun knots, Trans. Amer. Math. Soc. 115 (1965), 471-495. (a) K is a knot (b) —−K is the mirror image
Abstract
Applied to a knot K of S1 in S3, Zeeman's n-twist-spinning construction produces a knot Kn of S2 in S4 [ E. C. Zeeman , Trans. Amer. Math. Soc. 115 (1965), 471–495;]. Here the author gives an explicit "movie presentation'' of Kn, that is, a description of Kn in terms of the cross-sections Kn∩S3×{t}.