no. 1-2
Taut foliations of 3-manifolds and suspensions of S 1
Annales de l'Institut Fourier, Tome 42 (1992) no. 1-2, pp. 193-208.

Soit M une variété compacte orientée dont le bord contient un seul tore P et soit ℱ un feuilletage taut (i.e. dont toute feuille coupe une transversale fermée) sur M dont la restriction à ∂M a une composante de Reeb. Le principal résultat technique de ce papier dit que si N est obtenue par chirurgie de Dehn sur P le long de toute courbe parallèle à la composante de Reeb, alors N admet un feuilletage taut.

Let M be a compact oriented 3-manifold whose boundary contains a single torus P and let ℱ 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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     author = {Gabai, David},
     title = {Taut foliations of 3-manifolds and suspensions of $S^1$},
     journal = {Annales de l'Institut Fourier},
     pages = {193--208},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {42},
     number = {1-2},
     year = {1992},
     doi = {10.5802/aif.1289},
     mrnumber = {93d:57028},
     zbl = {0736.57010},
     language = {en},
     url = {http://archive.numdam.org/articles/10.5802/aif.1289/}
}
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Gabai, David. Taut foliations of 3-manifolds and suspensions of $S^1$. Annales de l'Institut Fourier, Tome 42 (1992) no. 1-2, pp. 193-208. doi : 10.5802/aif.1289. http://archive.numdam.org/articles/10.5802/aif.1289/

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