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Hyperbolic links and cyclic branched coverings

✍ Scribed by Marco Reni

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
407 KB
Volume
77
Category
Article
ISSN
0166-8641

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

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✍ Georg Schumacher; Kensho Takegoshi πŸ“‚ Article πŸ“… 1990 πŸ› Springer 🌐 English βš– 563 KB
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On hyperbolic knots with the same m-fold and n-fold cyclic branched coverings
✍ Bruno Zimmermann πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 945 KB

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