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Dehn surgery on arborescent knots and links—A survey

✍ Scribed by Ying-Qing Wu

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 799 KB
Volume: 9
Category: Article
ISSN: 0960-0779
DOI: 10.1016/s0960-0779(97)00099-4

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✦ Synopsis

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 been studied by many people, see e.g. [4,2,5,3,6,7].

We will give some definitions below. The reader is referred to [8, 91 for more detailed background material for 3-manifold topology, to [2,1,4,10] for arborescent tangles and links, to [ll] for hyperbolic manifolds, and to [12] for essential laminations and branched surfaces.

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