Reducing dehn fillings and small surfaces

• Autores: Sangyop Lee, Seungsang Oh, Masakazu Teragaito
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 92, Nº 1, 2006, págs. 203-223
• Idioma: inglés
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• Resumen

  • In this paper we investigate the distances between Dehn fillings on a hyperbolic 3-manifold that yield 3-manifolds containing essential small surfaces including non-orientable surfaces. In particular, we study the situations where one filling creates an essential sphere or projective plane, and the other creates an essential sphere, projective plane, annulus, M?bius band, torus or Klein bottle, for all eleven pairs of such non-hyperbolic manifolds.