In this survey, we present some recent results about Dehn surgeries on arborescent knots and links. Arborescent links are also known as algebraic links [l, 21 and star links [3]. The set of arborescent knots and links is a large class, including all 2-bridge links and Montesinos links. They have bee
Dehn surgeries on periodic links
✍ Scribed by E. Barbieri; A. Cavicchioli; F. Spaggiari
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 451 KB
- Volume
- 279
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We consider orientable closed connected 3‐manifolds obtained by Dehn surgeries with rational coefficients along the components of certain periodic links. These manifolds extend many classes of (hyperbolic) manifolds considered by several authors (see the references). We find geometric presentations of the fundamental group of such manifolds, and study some covering properties of them. Then we obtain results on their geometric structures in many cases. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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