✦ LIBER ✦

Dehn surgery along torus knots

✍ Scribed by Nikolai Saveliev

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 448 KB
Volume: 83
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00109-0

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✦ Synopsis

In this paper we show that any Rochlin invariant one homology 3-sphere obtained by Dehn surgery on a torus knot has infinite order in the homology cobordism group of oriented homology 3-spheres.

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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