no. 5
On boundary slopes of immersed incompressible surfaces
Annales de l'Institut Fourier, Volume 46 (1996) no. 5, pp. 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.

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     title = {On boundary slopes of immersed incompressible surfaces},
     journal = {Annales de l'Institut Fourier},
     pages = {1443--1449},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
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     year = {1996},
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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. https://aif.centre-mersenne.org/articles/10.5802/aif.1555/

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

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