Klein slopes on hyperbolic 3-manifolds

• Autores: Daniel Matignon, Nabil Sayari
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 2, 2007, págs. 419-447
• Idioma: inglés
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• Resumen

  • This paper is devoted to 3-manifolds which admit two distinct Dehn fillings producing a Klein bottle.

    Let M be a compact, connected and orientable 3-manifold whose boundary contains a 2-torus T. If M is hyperbolic then only finitely many Dehn fillings along T yield non-hyperbolic manifolds. We consider the situation where two distinct slopes ?1, ?2 produce a Klein bottle. We give an upper bound for the distance ?(?1, ?2), between ?1 and ?2. We show that there are exactly four hyperbolic manifolds for which ?(?1, ?2) > 4.