Let M be a simple 3-manifold with a toral boundary component β0M . If Dehn filling M along β0M one way produces a toroidal manifold, and Dehn filling M along β0M another way produces a boundary-reducible manifold, then we show that the absolute value of the intersection number on β0M of the two fill
β¦ LIBER β¦
Reducible and toroidal 3-manifolds obtained by Dehn fillings
β Scribed by Seungsang Oh
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 787 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0166-8641
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β¦ Synopsis
Let M be a compact, connected, orientable, irreducible 3-manifold whose boundary is a torus. We announce that if two Dehn fillings create reducible manifold and toroidal manifold, then the maximal distance is three.
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