منابع مشابه
Spaces of Incompressible Surfaces
The homotopy type of the space of PL homeomorphisms of a Haken 3 manifold was computed in [H1], and with the subsequent proof of the Smale conjecture in [H2], the computation carried over to diffeomorphisms as well. These results were also obtained independently by Ivanov [I1,I2]. The main step in the calculation in [H1], though not explicitly stated in these terms, was to show that the space o...
متن کاملLimits Of Incompressible Surfaces
One can embed arbitrarily many disjoint, non-parallel, non-boundary parallel, incompressible surfaces in any three manifold with at least one boundary component of genus two or greater [4]. This paper proves the contrasting, but not contradictory result that although one can sometimes embed arbitrarily many surfaces in a 3-manifold it is impossible to ever embed an infinite number of such surfa...
متن کاملGenerating disjoint incompressible surfaces
Article history: Received 1 February 2008 Accepted 6 November 2010
متن کاملBoundary Curves of Incompressible Surfaces
Let M be an compact orientable 3 manifold whose boundary ∂M consists of a single torus. If a meridian and longitude in this torus are chosen, then isotopy classes of smoothly embedded circles in ∂M that do not bound disks correspond bijectively with elements of QP = Q ∪ {1/0} , regarded as slopes of these curves. We show in this paper that the set of slopes coming from boundary curves of incomp...
متن کاملIncompressible Surfaces in Link Complements
A link L in S has a 2n-plat projection for some n, as shown in Figure 1, where a box on the i-th row and j-th column consists of 2 vertical strings with aij left-hand half twist; in other words, it is a rational tangle of slope 1/aij. See for example [BZ]. Let n be the number of boxes in the even rows, so there are n − 1 boxes in the odd rows. Let m be the number of rows in the diagram. It was ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1988
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1988-0929008-9