منابع مشابه
Incompressible surfaces and Dehn Surgery on 1-bridge Knots in handlebodies
Given a knot K in a 3-manifold M , we use N(K) to denote a regular neighborhood of K. Suppose γ is a slope (i.e an isotopy class of essential simple closed curves) on ∂N(K). The surgered manifold along γ is denoted by (H,K; γ), which by definition is the manifold obtained by gluing a solid torus to H − IntN(K) so that γ bounds a meridianal disk. We say that M is ∂-reducible if ∂M is compressibl...
متن کاملExtending Homeomorphisms from Punctured Surfaces to Handlebodies
Let Hg be a genus g handlebody and MCG2n(Tg) be the group of the isotopy classes of orientation preserving homeomorphisms of Tg = ∂Hg, fixing a given set of 2n points. In this paper we find a finite set of generators for E 2n, the subgroup of MCG2n(Tg) consisting of the isotopy classes of homeomorphisms of Tg admitting an extension to the handlebody and keeping fixed the union of n disjoint pro...
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 ...
متن کاملGenerating disjoint incompressible surfaces
Article history: Received 1 February 2008 Accepted 6 November 2010
متن کاملSpaces 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...
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ژورنال
عنوان ژورنال: Topology
سال: 2000
ISSN: 0040-9383
DOI: 10.1016/s0040-9383(99)00012-9