Deforming twist-spun knots

Litherland, R. A.

doi:10.1090/S0002-9947-1979-0530058-4

Deforming twist-spun knots
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by R. A. Litherland

Trans. Amer. Math. Soc. 250 (1979), 311-331

DOI: https://doi.org/10.1090/S0002-9947-1979-0530058-4

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Abstract:

In [15] Zeeman introduced the process of twist-spinning an n-knot to obtain an (n + l)-knot, and proved the remarkable theorem that a twist-spun knot is fibred. In [2] Fox described another deformation which can be applied during the spinning process, and which he called rolling. We show that, provided one combines the rolling with a twist, the resulting knot is again fibred. In fact, this result holds for a larger class of deformations, defined below.

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13

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