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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Twist-roll spun knots


Author: Masakazu Teragaito
Journal: Proc. Amer. Math. Soc. 122 (1994), 597-599
MSC: Primary 57Q45
DOI: https://doi.org/10.1090/S0002-9939-1994-1201806-9
MathSciNet review: 1201806
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Abstract: We study 2-knots obtained from 1-knots by a combination of twist-spinning and roll-spinning and ask whether they are nontrivial. It is proved that, under a certain assumption, the resulting 2-knot is always nontrivial when the 1-knot is not a torus knot, making use of the Cyclic Surgery Theorem.


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DOI: https://doi.org/10.1090/S0002-9939-1994-1201806-9
Article copyright: © Copyright 1994 American Mathematical Society