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Singhof fillings of closed 3-manifolds

✍ Scribed by J. C. Gómez-Larrañaga; Wolfgang Heil


Book ID
105924281
Publisher
Springer
Year
2002
Tongue
English
Weight
89 KB
Volume
107
Category
Article
ISSN
0025-2611

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Dehn fillings of 3-manifolds and non-per
✍ Luis Gerardo Valdez Sánchez 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 275 KB

We prove that if M is a connected, compact, orientable, irreducible 3-manifold with incompressible torus boundary and r is a planar boundary slope in ∂M, then either M contains an essential non-persistent torus with boundary slope r, or a closed essential torus which compresses in the Dehn filling M

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✍ Seungsang Oh 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 787 KB

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.