Three-manifolds class field theory (Homology of coverings for a non-virtually Haken manifold)
| dc.creator | Reznikov, Alexander | |
| dc.date | 1996-02-14 | |
| dc.date.accessioned | 2026-07-07T09:12:43Z | |
| dc.date.available | 2026-07-07T09:12:43Z | |
| dc.description | This is a first in a series of papers, devoted to the relation betwwen three-manifolds and number fields. The present paper studies first homology of finite coverings of a three-manifold with primary interest in the Thurston $b_1$ conjecture.The main result reads: if $M$ does not yield the Thurston conjecture, then the pro-p completion of its fundamental group is a Poincaré duality pro-p group. Conceptually, it means that we have a ``p-adic'' three-manifold. We develop several algebraic techniques, including a new powerful specral seguence, to actually compute homology of coverings, assumong only information on homology of $M$, a thing never done before.A number of applications to the structure of finite group cohomology rings is also given. | |
| dc.description | amstex | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9602006 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9602006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152112 | |
| dc.subject | Differential Geometry | |
| dc.title | Three-manifolds class field theory (Homology of coverings for a non-virtually Haken manifold) | |
| dc.type | text |