Sutured Manifold Hierarchies , Essential Laminations , and Dehn Surgery

  title={Sutured Manifold Hierarchies , Essential Laminations , and Dehn Surgery},
  author={Ying-Qing Wu},
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
Highly Cited
This paper has 23 citations. REVIEW CITATIONS


Publications referenced by this paper.
Showing 1-10 of 20 references

Reducible and toroidal manifolds obtained by Dehn filling

S. Oh
Topology Appl • 1997

Reducible manifolds and Dehn surgery, Topology

C. Gordon, J. Luecke

Spherical space forms and Dehn filling

C. Hodgson
Topology • 1996

Spherical space forms and Dehn filling, Topology

S. Bleiler, C. Hodgson

Dehn surgery on knots

P. Shalen
Annals Math . • 1993

Essential laminations in Seifertfibered spaces

C. Gordon, P. Shalen
Topology • 1993

The reducibility of surgered 3-manifolds

Y-Q. Wu
Topology Appl • 1992

Boundary slopes of punctured tori in 3 - manifolds

C. Gordon
Annals Math . • 1989

Sutured manifolds and generalized Thurston norms

M. Scharlemann
J. Diff. Geo • 1989

Similar Papers

Loading similar papers…