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 کاملExceptional Dehn filling
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...
متن کاملBounds on exceptional Dehn filling
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
متن کاملSmall surfaces and Dehn filling
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
متن کاملVirtual Haken 3-Manifolds and Dehn Filling
In this paper we consider the conjecture through the Dehn filling construction. LetM be a compact, connected, orientable, irreducible 3-manifold M such that ∂M is a torus. Recall that a slope on ∂M is the isotopy class of an unoriented, simple, essential loop in ∂M . We use ∆(r1, r2) to denote the distance (i.e. the minimal geometric intersection number) between two slopes r1 and r2 on ∂M and u...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1998
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-42-1-129-144