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Sutured manifold hierarchies, essential laminations, and Dehn surgery

Sutured manifold hierarchies, essential laminations, and Dehn surgery

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, 9-reducible, toroidal, or annular, respectively.Any such surface can be used to decompose the manifold further …