On boundary slopes of immersed incompressible surfaces

Baker, Mark D.

Baker, Mark D.

Annales de l'Institut Fourier, Tome 46 (1996), p. 1443-1449 / Harvested from Numdam

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Résumé
Abstract

Soit $M$ une variété de dimension trois compacte, orientable, irréductible avec $\partial M$ un tore. On montre qu’il peut y avoir un nombre infini de pentes sur le bord, réalisées par le bord d’une surface essentielle, immergée, proprement plongée au bord.

Let $M$ be a compact, orientable, irreducible 3-manifold with $\partial M$ a torus. We show that there can be infinitely many slopes on $\partial M$ realized by the boundary curves of immersed, incompressible, $\partial$ - incompressible surfaces in $M$ which are embedded in a neighborhood of $M$ .

Publié le : 1996-01-01

MR 98a:57023 | Zbl 0864.57015

DOI : https://doi.org/10.5802/aif.1555

@article{AIF_1996__46_5_1443_0,
     author = {Baker, Mark D.},
     title = {On boundary slopes of immersed incompressible surfaces},
     journal = {Annales de l'Institut Fourier},
     volume = {46},
     year = {1996},
     pages = {1443-1449},
     doi = {10.5802/aif.1555},
     mrnumber = {98a:57023},
     zbl = {0864.57015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1996__46_5_1443_0}
}

Baker, Mark D. On boundary slopes of immersed incompressible surfaces. Annales de l'Institut Fourier, Tome 46 (1996) pp. 1443-1449. doi : 10.5802/aif.1555. http://gdmltest.u-ga.fr/item/AIF_1996__46_5_1443_0/

Bibliographie

[H] A. Hatcher, On the boundary curves of incompressible surfaces, Pacific J. Math., 99 (1982), 373-377. | MR 83h:57016 | Zbl 0502.57005