𝔖 Bobbio Scriptorium
✦   LIBER   ✦

∂-reducible Dehn surgery and annular Dehn surgery

✍ Scribed by Ruifeng Qiu; Zhang Ying

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
431 KB
Volume
92
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

✦ Synopsis

Let ILI be a compact, orientable, irreducible, a-irreducible, anannular j-manifold with one component T of aAJ a torus. Suppose that ~1 and T_ 1 are two slopes on T. In this paper, we shall prove that if A4(rl) is &reducible while M(Q) contains an essential annulus, then n(r, ( ~2) < 3.

📜 SIMILAR VOLUMES

Toroidal and annular Dehn surgeries of s
Toroidal and annular Dehn surgeries of solid tori
✍ Katura Miyazaki; Kimihiko Motegi 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 100 KB

We obtain an infinite family of hyperbolic knots in a solid torus which admit half-integral, toroidal and annular surgeries. Among this family we find a knot with two toroidal and annular surgeries; one is integral and the other is half-integral, and their distance is 5. This example realizes the ma

Dehn surgeries on periodic links
Dehn surgeries on periodic links
✍ E. Barbieri; A. Cavicchioli; F. Spaggiari 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 451 KB

## 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 p

Dehn surgery along torus knots
Dehn surgery along torus knots
✍ Nikolai Saveliev 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 448 KB

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.

Cyclic Dehn surgery and the A-polynomial
Cyclic Dehn surgery and the A-polynomial
✍ Patrick D. Shanahan 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 294 KB

We present a necessary condition for Dehn surgery on a knot in S 3 to be cyclic which is based on the A-polynomial of the knot. The condition involves a width of the Newton polygon of the Apolynomial, and provides a simple method of computing a list of possible cyclic surgery slopes. The width produ

Dehn surgery on arborescent knots and li
Dehn surgery on arborescent knots and links—A survey
✍ Ying-Qing Wu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 799 KB

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