Three-manifolds, Foliations and Circles, I
| dc.creator | Thurston, William P. | |
| dc.date | 1997-12-30 | |
| dc.date.accessioned | 2026-07-07T05:23:26Z | |
| dc.date.available | 2026-07-07T05:23:26Z | |
| dc.description | This paper investigates certain foliations of three-manifolds that are hybrids of fibrations over the circle with foliated circle bundles over surfaces: a 3-manifold slithers around the circle when its universal cover fibers over the circle so that deck transformations are bundle automorphisms. Examples include hyperbolic 3-manifolds of every possible homological type. We show that all such foliations admit transverse pseudo-Anosov flows, and that in the universal cover of the hyperbolic cases, the leaves limit to sphere-filling Peano curves. The skew R-covered Anosov foliations of Sergio Fenley are examples. We hope later to use this structure for geometrization of slithered 3-manifolds. | |
| dc.description | 60 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/math/9712268 | |
| dc.identifier | http://arxiv.org/abs/math/9712268 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76437 | |
| dc.subject | Geometric Topology | |
| dc.subject | Dynamical Systems | |
| dc.subject | Group Theory | |
| dc.subject | 57m50 | |
| dc.title | Three-manifolds, Foliations and Circles, I | |
| dc.type | text |