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A note on twist spun knots.

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Montesinos Amilibia, José María (1986) A note on twist spun knots. Proceedings of the American Mathematical Society, 98 (1). pp. 180-184. ISSN 0002-9939

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Official URL: http://www.ams.org/journals/proc/1986-098-01/S0002-9939-1986-0848900-5/S0002-9939-1986-0848900-5.pdf


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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}.


Item Type:Article
Uncontrolled Keywords:Twist spun knot, plat, braid, slice knot
Subjects:Sciences > Mathematics > Topology
ID Code:22088
Deposited On:26 Jun 2013 17:53
Last Modified:12 Dec 2018 15:13

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