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.
Toroidal and annular Dehn surgeries of solid tori
β Scribed by Katura Miyazaki; Kimihiko Motegi
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 100 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0166-8641
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β¦ Synopsis
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 maximal distance between annular surgery slopes and toroidal ones, and that between annular surgery slopes.
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