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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.32 (2001) s1
  6. Hyperbolic 2-fold Branched Coverings
 
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Hyperbolic 2-fold Branched Coverings

Mecchia, Mattia
2001
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ISSN
0049-4704
http://hdl.handle.net/10077/4241
  • Article

Abstract
In the Kirby list is presented the following problem: describe the equivalence classes in the set of knots under the relation K$_{1}$ is equivalent to K$_{2}$ if their 2-fold cyclic branched coverings are homeomorphic 3-manifolds. In this paper we consider the basic case of hyperbolic manifold. In the fi{}rst part of this paper we want to present briefl{}y the results, yet available in some previous works, which solve this problem. In the second part we present examples of knots with the same 2-fold branched covering which show that the theorem, which describes the possible relations between two knots in the same equivalence class, is the best possible.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 suppl. 1 (2001)
Subjects
  • cyclic branched cover...

  • hyperbolic knot

  • hyperbolic 3- manifol...

Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Mattia Mecchia, "Hyperbolic 2-fold Branched Coverings", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.1, pp. 165–180.
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