On boundary slopes of immersed incompressible surfaces
Annales de l'Institut Fourier, Volume 46 (1996) no. 5, p. 1443-1449
Let M be a compact, orientable, irreducible 3-manifold with M a torus. We show that there can be infinitely many slopes on M realized by the boundary curves of immersed, incompressible, - incompressible surfaces in M which are embedded in a neighborhood of M.
Soit M une variété de dimension trois compacte, orientable, irréductible avec 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.
@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},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {46},
     number = {5},
     year = {1996},
     pages = {1443-1449},
     doi = {10.5802/aif.1555},
     zbl = {0864.57015},
     mrnumber = {98a:57023},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1996__46_5_1443_0}
}
Baker, Mark D. On boundary slopes of immersed incompressible surfaces. Annales de l'Institut Fourier, Volume 46 (1996) no. 5, pp. 1443-1449. doi : 10.5802/aif.1555. http://www.numdam.org/item/AIF_1996__46_5_1443_0/

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