Abstract :
In this survey, we present some recent results about Dehn surgeries on arborescent knots and links. Arborescent links are also known as algebraic links [1, 2] 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, 9] for more detailed background material for 3-manifold topology, to [2,1,4,10] for arborescent tangles and links, to [11] for hyperbolic manifolds, and to [12] for essential laminations and branched surfaces.
