Fundamental classes of negatively curved manifolds cannot be represented by products of manifolds
| dc.creator | Loeh, Clara | |
| dc.date | 2008-04-21 | |
| dc.date | 2008-07-04 | |
| dc.date.accessioned | 2026-07-07T09:48:09Z | |
| dc.date.available | 2026-07-07T09:48:09Z | |
| dc.description | Not every singular homology class is the push-forward of the fundamental class of some manifold. In the same spirit, one can study the following problem: Which singular homology classes are the push-forward of the fundamental class of a given type of manifolds? In the present article, we show that the fundamental classes of negatively curved manifolds cannot be represented by a non-trivial product of manifolds. This observation sheds some light on the functorial semi-norm on singular homology given by products of compact surfaces. | |
| dc.description | this preprint is superseded by arXiv:0806.4540; 8 pages | |
| dc.identifier | https://arxiv.org/abs/0804.3242 | |
| dc.identifier | http://arxiv.org/abs/0804.3242 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164110 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57N65; 32Q05 | |
| dc.title | Fundamental classes of negatively curved manifolds cannot be represented by products of manifolds | |
| dc.type | text |