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Iterated torus knots

Published online by Cambridge University Press:  24 October 2008

D. Hacon
D. Hacon
Affiliation:
University of Manchester
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Extract

Let k be a (smooth) knot in S3, → X the infinite cyclic covering of X = S3 – k corresponding to a generator of and let t generate the (infinite cyclic) group of covering transformations of . Various authors (1), (2), have shown that, for iterated torus knots, is of finite order (i.e. some power of t* is the identity).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 1 , July 1976 , pp. 57 - 60
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

(1)A'Campo, N.Sur la monodromie des singularités isolées d'hypersurfaces complexes. Invent. Math. 20 (1973), 147–169.CrossRefGoogle Scholar
(2)Lê, Dũng Tráng. Sur les noeuds algébriques. Compositio Math. 25 (1972), 281–321.Google Scholar