Spaces of Incompressible Surfaces
| dc.creator | Hatcher, Allen | |
| dc.date | 1999-06-11 | |
| dc.date.accessioned | 2026-07-07T05:29:27Z | |
| dc.date.available | 2026-07-07T05:29:27Z | |
| dc.description | This is a "software upgrade" to a paper originally published in 1976, with cleaner statements and improved proofs. The main result is that, in a Haken 3-manifold, the space of all incompressible surfaces in a single isotopy class is contractible, except when the surface is the fiber of a surface bundle structure, in which case the space of all surfaces isotopic to the fiber has the homotopy type of a circle (the fibers). The main application from the 1976 paper is also rederived, the theorem (proved independently by Ivanov) that the diffeomorphism group of a Haken 3-manifold has contractible components, except in the case of certain Seifert manifolds when the components of the diffeomorphism group have the homotopy type of a circle or torus acting on the manifold. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/9906074 | |
| dc.identifier | http://arxiv.org/abs/math/9906074 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78645 | |
| dc.subject | Geometric Topology | |
| dc.title | Spaces of Incompressible Surfaces | |
| dc.type | text |