منابع مشابه
Reducible And Finite Dehn Fillings
We show that the distance between a finite filling slope and a reducible filling slope on the boundary of a hyperbolic knot manifold is at most one. Let M be a knot manifold, i.e. a connected, compact, orientable 3-manifold whose boundary is a torus. A knot manifold is said to be hyperbolic if its interior admits a complete hyperbolic metric of finite volume. Let M(α) denote the manifold obtain...
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We consider conditions on relatively hyperbolic groups about the non-existence of certain kinds of splittings, and show these properties persist in long Dehn fillings. We deduce that certain connectivity properties of the Bowditch boundary persist un-
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Suppose M is a hyperbolic 3-manifold which admits two Dehn fillings M(r1) and M(r2) such that M(r1) contains an essential torus and M(r2) contains an essential annulus. It is known that ∆ = ∆(r1, r2) ≤ 5. We will show that if ∆ = 5 then M is the Whitehead sister link exterior, and if ∆ = 4 then M is the exterior of either the Whitehead link or the 2-bridge link associated to the rational number...
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Surfaces of non-negative Euler characteristic, i.e., spheres, disks, tori and annuli, play a special role in the theory of 3-dimensional manifolds. For example, it is well known that every (compact, orientable) 3-manifold can be decomposed into canonical pieces by cutting it along essential surfaces of this kind [K], [M], [Bo], [JS], [Jo1]. Also, if (as in [Wu3]) we call a 3-manifold that conta...
متن کاملA Note on Finite Dehn Fillings
Let M be a compact, connected, orientable 3-manifold whose boundary is a torus and whose interior admits a complete hyperbolic metric of finite volume. In this paper we show that if the minimal Culler-Shalen norm of a non-zero class in H1(∂M) is larger than 8, then the finite surgery conjecture holds for M. This means that there are at most 5 Dehn fillings of M which can yield manifolds having ...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 2003
ISSN: 0018-2079
DOI: 10.32917/hmj/1150997871