Twist-roll spun knots

Teragaito, Masakazu

doi:10.1090/S0002-9939-1994-1201806-9

Twist-roll spun knots
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by Masakazu Teragaito PDF

Proc. Amer. Math. Soc. 122 (1994), 597-599 Request permission

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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