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On cyclic branched coverings of hyperbolic links

✍ Scribed by Bruno Zimmermann


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
521 KB
Volume
65
Category
Article
ISSN
0166-8641

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πŸ“œ SIMILAR VOLUMES


Hyperbolic links and cyclic branched cov
✍ Marco Reni πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 407 KB

There exist in the literature many examples of different knots or links with homeomorphic cyclic branched coverings. In this paper we study the case of hyperbolic links. We show that a hyperbolic link with r components, if r does not divide R, is determined by its n-fold cyclic branched coverings.

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We have proved in previous work that, for any pair of different integers m > n > 2 (respectively m > n 3 2) which are not coprime, a hyperbolic (respectively 27r/n-hyperbolic) knot is determined by its m-fold and n-fold cyclic branched coverings; also, if TL is not a power of two, there exist at mos

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