Homotopy invariance of higher signatures and 3-manifold groups
| dc.creator | Matthey, Michel | |
| dc.creator | Oyono-Oyono, Hervé | |
| dc.creator | Pitsch, Wolfgang | |
| dc.date | 2004-12-18 | |
| dc.date.accessioned | 2026-07-07T05:15:25Z | |
| dc.date.available | 2026-07-07T05:15:25Z | |
| dc.description | For closed oriented manifolds, we establish oriented homotopy invariance of higher signatures that come from the fundamental group of a large class of orientable 3-manifolds, including the ``piecewise geometric'' ones in the sense of Thurston. In particular, this class, that will be carefully described, is the class of all orientable 3-manifolds if the Thurston Geometrization Conjecture is true. In fact, for this type of groups, we show that the Baum-Connes Conjecture With Coefficients holds. The non-oriented case is also discussed. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0412363 | |
| dc.identifier | http://arxiv.org/abs/math/0412363 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73624 | |
| dc.subject | Algebraic Topology | |
| dc.subject | K-Theory and Homology | |
| dc.title | Homotopy invariance of higher signatures and 3-manifold groups | |
| dc.type | text |