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.
@article{AIF_1992__42_1-2_313_0, author = {Hatcher, Allen}, title = {Some examples of essential laminations in 3-manifolds}, journal = {Annales de l'Institut Fourier}, volume = {42}, year = {1992}, pages = {313-325}, doi = {10.5802/aif.1293}, mrnumber = {93e:57026}, zbl = {0759.57006}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_1992__42_1-2_313_0} }
Hatcher, Allen. Some examples of essential laminations in 3-manifolds. Annales de l'Institut Fourier, Tome 42 (1992) pp. 313-325. doi : 10.5802/aif.1293. http://gdmltest.u-ga.fr/item/AIF_1992__42_1-2_313_0/
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