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Taut foliations of 3-manifolds and suspensions of S 1

David Gabai — 1992

Annales de l'institut Fourier

Let M be a compact oriented 3-manifold whose boundary contains a single torus P and let be a taut foliation on M whose restriction to M has a Reeb component. The main technical result of the paper, asserts that if N is obtained by Dehn filling P along any curve not parallel to the Reeb component, then N has a taut foliation.

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