منابع مشابه
Essential laminations in I-bundles
We show that, with a few familiar exceptions, every essential lamination in an interval-bundleover a closed surface can be isotoped to lie everywhere transverse to the Ibers of the bundle.
متن کاملEssential Laminations and Haken Normal Form
0. Introduction. The notion of (Haken) normal form w.r.t. a triangulation of a 3-manifold traces back to Kneser's work in the 1930's on surfaces in 3-manifolds. Haken studied it extensively in the 1960's, and showed [8] how to use it to create nite algorithms for the determination of various properties of embedded surfaces. This has since culminated, in the work of Jaco and Oertel [10], in an a...
متن کاملWhen Incompressible Tori Meet Essential Laminations
Roussarie and Thurston [Ro], [Th] showed that given a taut foliation F and an incompressible torus T in a 3-manifold M , the torus may be isotoped so that it is either transverse to the leaves of the foliation, or is equal to one of the leaves of the foliation. This result was known to be false in the more general context of a foliation F without Reeb components. The only obstruction, however [...
متن کاملEssential Laminations in Seifert- bered Spaces
Over the past few decades, the importance of the incompressible surface in the study of 3-manifold topology has become apparent. In fact, nearly all of the important outstanding conjectures in the eld have been proved, for 3-manifolds containing incompressible surfaces (see, e.g., [20],[22]). Faced with such success, it becomes important to know just what 3-manifolds could contain an incompress...
متن کاملEssential Laminations and Branched Surfaces in the Exteriors of Links
In the same paper, by using the result above, he proposes a procedure for determining whether a given manifold contains an essential lamination or not. However the procedure does not work, at present, since (1) there is not a practical algorithm for determining whether a given branched surface is essential or not, and (2) there does not exist an algorithm for determining whether a given branche...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2006
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-006-0004-3