3-manifolds which are orbit spaces of diffeomorphisms - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Topology Année : 2008

3-manifolds which are orbit spaces of diffeomorphisms

Résumé

In a very general setting, we show that a 3-manifold obtained as the orbit space of the basin of a topological attractor is either S^2 × S^1 or irreducible. We then study in more detail the topology of a class of 3-manifolds which are also orbit spaces and arise as invariants of gradient-like diffeomorphisms (in dimension 3). Up to a finite number of exceptions, which we explicitly describe, all these manifolds are Haken and, by changing the diffeomorphism by a finite power, all the Seifert components of the Jaco-Shalen-Johannson decomposition of these manifolds are made into product circle bundles.
Fichier non déposé

Dates et versions

hal-00638117 , version 1 (03-11-2011)

Identifiants

  • HAL Id : hal-00638117 , version 1

Citer

Christian Bonatti, Luisa Paoluzzi. 3-manifolds which are orbit spaces of diffeomorphisms. Topology, 2008, 47, pp.71-100. ⟨hal-00638117⟩
100 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More