Fundamental classes not representable by products
| dc.creator | Kotschick, D. | |
| dc.creator | Loeh, C. | |
| dc.date | 2008-06-27 | |
| dc.date | 2008-12-25 | |
| dc.date.accessioned | 2026-07-07T13:17:38Z | |
| dc.date.available | 2026-07-07T13:17:38Z | |
| dc.description | We prove that rationally essential manifolds with suitably large fundamental groups do not admit any maps of non-zero degree from products of closed manifolds of positive dimension. Particular examples include all manifolds of non-positive sectional curvature of rank one and all irreducible locally symmetric spaces of non-compact type. For closed manifolds from certain classes, say non-positively curved ones, or certain surface bundles over surfaces, we show that they do admit maps of non-zero degree from non-trivial products if and only if they are virtually diffeomorphic to products. | |
| dc.description | 22 pages; updated references and corrected a typo; to appear in the Journal of the London Mathematical Society | |
| dc.identifier | https://arxiv.org/abs/0806.4540 | |
| dc.identifier | http://arxiv.org/abs/0806.4540 | |
| dc.identifier | J. London Math. Soc. 79 (2009), 545--561 | |
| dc.identifier | doi:10.1112/jlms/jdn089 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231177 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | Group Theory | |
| dc.subject | 53C23 (Primary); 20F34, 20F67, 57N65 (Secondary) | |
| dc.title | Fundamental classes not representable by products | |
| dc.type | text |