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Hyperbolic Knots and Links with a Common Cyclic Branched Covering: Known Results and Open Problems
Zimmermann, Bruno P.
2006
Abstract
We give a survey on recent progress and remaining
open problems on the number and the geometry of knots and
links which have a hyperbolic 3-manifold M as a common cyclic
branched covering. This is strongly related to the algebra and
the geometry of the finite isometry group G of M, and it naturally divides into the two cases G solvable and G non-solvable.
The solvable case is relatively well understood whereas the non-
solvable case remains somewhat mysterious.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
38 (2006)
Publisher
EUT Edizioni Università di Trieste
Source
Bruno P. Zimmermann, "Hyperbolic Knots and Links with a Common Cyclic Branched Covering: Known Results and Open Problems", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 38 (2006), pp. 95-107.
Languages
en
File(s)