no. 1-2
Some examples of essential laminations in 3-manifolds
Annales de l'Institut Fourier, Tome 42 (1992) no. 1-2, pp. 313-325.

Nous construisons des familles de feuilletages de codimension 1 et de laminations dans certaines variétés de dimension 3, telles que leur intersection transverse avec le tore bordant la variété soit des courbes dont la pente varie continûment en fonctions des paramètres de la construction. Les variétés de dimension 3 considérées sont des complémentaires de nœuds à 2 ponts et des fibrés en tores troués.

Families of codimension-one foliations and laminations are constructed in certain 3-manifolds, with the property that their transverse intersection with the boundary torus of the manifold consists of parallel curves whose slope varies continuously with certain parameters in the construction. The 3-manifolds are 2-bridge knot complements and punctured-torus bundles.

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     title = {Some examples of essential laminations in 3-manifolds},
     journal = {Annales de l'Institut Fourier},
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     publisher = {Institut Fourier},
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     volume = {42},
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Hatcher, Allen. Some examples of essential laminations in 3-manifolds. Annales de l'Institut Fourier, Tome 42 (1992) no. 1-2, pp. 313-325. doi : 10.5802/aif.1293. http://archive.numdam.org/articles/10.5802/aif.1293/

[B] M. Brittenham, Essential laminations in Seifert-fibered spaces, preprint. | Zbl

[FH1] W. Floyd and A. Hatcher, The space of incompressible surfaces in a 2-bridge link complement, Trans. A.M.S., 305 (1988), 575-599. | MR | Zbl

[FH2] W. Floyd and A. Hatcher, Incompressible surfaces in punctured-torus bundles, Topology and its Appl., 13 (1982), 263-282. | MR | Zbl

[G] D. Gabai, Laminations transverse to foliations, to appear.

[GO] D. Gabai and U. Oertel, Essential laminations in 3-manifolds, Annals of Math., 130 (1989), 41-73. | MR | Zbl

[H] A. Hatcher, On the boundary curves of incompressible surfaces, Pac. J. Math., 99 (1982), 373-377. | MR | Zbl

[HO] A. Hatcher and U. Oertel, Affine lamination spaces for surfaces, Pac. J. Math., to appear. | Zbl

[HT] A. Hatcher and W. Thurston, Incompressible surfaces in 2-bridge knot complements, Invent. Math., 79 (1985), 225-246. | MR | Zbl

[JN] M. Jankins and W. Neumann, Rotation numbers of products of circle homeomorphisms, Math. Annalen, 271 (1985), 381-400. | MR | Zbl

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