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On some classes of hyperbolic knots with the 3-sphere surgery

✍ Scribed by Alberto Cavicchioli; Toshio Saito


Book ID
113933851
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
272 KB
Volume
159
Category
Article
ISSN
0166-8641

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On a class of hyperbolic 3-manifolds and
✍ Luisa Paoluzzi; Bruno Zimmermann πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 486 KB

We construct compact hyperbolic 3-manifolds with totally geodesic boundary, arbitrarily many of the same volume. The fundamental groups of these 3-manifolds are groups with one defining relation. Our main result is a classification of these manifolds up to homeomorphism, resp. isometry.