Reducing Dehn filling and toroidal Dehn filling
نویسندگان
چکیده
منابع مشابه
Reducing Dehn filling and toroidal Dehn filling
It is shown that if M is a compact, connected, orientable hyperbolic 3-manifold whose boundary is a torus, and 7‘1, FZ are two slopes on i7M whose associated fillings are respectively a reducible manifold and one containing an essential torus, then the distance between these slopes is bounded above by 4. Under additional hypotheses this bound is improved Consequently the cabling conjecture is s...
متن کاملCharacteristic Submanifold Theory and Toroidal Dehn Filling
The exceptional Dehn filling conjecture of the second author concerning the relationship between exceptional slopes α, β on the boundary of a hyperbolic knot manifold M has been verified in all cases other than small Seifert filling slopes. In this paper we verify it when α is a small Seifert filling slope and β is a toroidal filling slope in the generic case where M admits no punctured-torus f...
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This Research in Team workshop focused on several problems in the theory of exceptional Dehn fillings in 3dimensional topology. Dehn filling is the construction in which you take a 3-manifoldM , with a distinguished torus boundary component T , and glue a solid torus V to M via some homeomorphism from ∂V to T . The resulting manifold depends only on the isotopy class (slope) α on T that is iden...
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We give a summary of known results on the maximal distances between Dehn fillings on a hyperbolic 3–manifold that yield 3–manifolds containing a surface of non-negative Euler characteristic that is either essential or Heegaard. AMS Classification 57M25; 57M50
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We show that for a hyperbolic knot complement, all but at most 12 Dehn fillings are irreducible with infinite word-hyperbolic fundamental group. AMS Classification numbers Primary: 57M50, 57M27 Secondary: 57M25, 57S25
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1996
ISSN: 0166-8641
DOI: 10.1016/0166-8641(95)00061-5