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In this paper we give a brief survey of the present state of knowledge on exceptional Dehn fillings on 3-manifolds with torus boundary. For our discussion, it is necessary to first give a quick overview of what is presently known, and what is conjectured, about the structure of 3-manifolds. This is done in Section 2. In Section 3 we summarize the known bounds on the distances between various kinds of exceptional Dehn fillings, and compare these with the distances that arise in known examples. In...

Dehn twists on nonorientable surfaces

Michał Stukow (2006)

Fundamenta Mathematicae

Let $t_{a}$ be the Dehn twist about a circle a on an orientable surface. It is well known that for each circle b and an integer n, $I (t ⁿ_{a} (b), b) = | n | I (a, b) ²$ , where I(·,·) is the geometric intersection number. We prove a similar formula for circles on nonorientable surfaces. As a corollary we prove some algebraic properties of twists on nonorientable surfaces. We also prove that if ℳ(N) is the mapping class group of a nonorientable surface N, then up to a finite number of exceptions, the centraliser of the subgroup of ℳ(N) generated...

Deloopings of the spaces of long embeddings

Keiichi Sakai (2014)

Fundamenta Mathematicae

The homotopy fiber of the inclusion from the long embedding space to the long immersion space is known to be an iterated based loop space (if the codimension is greater than two). In this paper we deloop the homotopy fiber to obtain the topological Stiefel manifold, combining results of Lashof and of Lees. We also give a delooping of the long embedding space, which can be regarded as a version of Morlet-Burghelea-Lashof's delooping of the diffeomorphism group of the disk relative to the boundary....

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Das Nielsensche Realisierungsproblem für hinreichend große 3-Mannigfaltigkeiten.

Déchirures de variétés de dimension trois et la conjecture de Nash de rationalité en dimension trois.

Decomposing four-manifolds up to homotopy type.

Décomposition cellulaire de variétés paramétrant des idéaux homogènes de C [[x,y]]. Incidence des cellules - II -.

Decomposition spaces having arbitrarily small neighborhoods with 2-sphere boundaries II

Decomposition theorems in differential geometry.

Decompositions into submanifolds of fixed codimension

Decompositions of $E^{3}$ which satisfy a uniform Lipschitz condition are factors of $E^{4}$

Decompositions of manifolds into codimension one submanifolds

Dedekind sums and signatures of intersection forms.

Dedekind sums, ..-invariants and the signature cocycle.

Deformation of Homeomorphismus on Stratified Sets

Deformation of Maps to Branched Coverings in Dimension Three.

Degree one maps between small 3-manifolds and Heegaard genus.

Dehn filling: A survey

Dehn twists on nonorientable surfaces

Deloopings of the spaces of long embeddings

Démonstration d'un théorème de Penner sur la composition des twists de Dehn

Densidad de la transversalidad en multijets de variedades con borde anguloso.

Density of the transversality on manifolds with corners.

Currently displaying 1 – 20 of 38