Sutured Manifold Hierarchies , Essential Laminations , and Dehn Surgery

@inproceedings{Wu1997SuturedMH,
  title={Sutured Manifold Hierarchies , Essential Laminations , and Dehn Surgery},
  author={Ying-Qing Wu},
  year={1997}
}
A compact orientable surface F with nonnegative Euler characteristic is either a sphere, a disk, a torus, or an annulus. If a 3-manifold M contains such an essential surface, then it is said to be reducible, ∂-reducible, toroidal, or annular, respectively. Any such surface can be used to decompose the manifold further into simpler manifolds. We say that M is a simple manifold if it has no such surfaces. A simple manifold is expected to have a nice geometric structure. If M has nonempty boundary… CONTINUE READING
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