Options
Hyperbolic 2-fold Branched Coverings
Mecchia, Mattia
2001
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)
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.
Languages
en
File(s)