On manifolds satisfying stable systolic inequalities
| dc.creator | Brunnbauer, Michael | |
| dc.date | 2007-08-20 | |
| dc.date | 2008-04-17 | |
| dc.date.accessioned | 2026-07-07T09:32:48Z | |
| dc.date.available | 2026-07-07T09:32:48Z | |
| dc.description | We show that for closed orientable manifolds the $k$-dimensional stable systole admits a metric-independent volume bound if and only if there are cohomology classes of degree $k$ that generate cohomology in top-degree. Moreover, it turns out that in the nonorientable case such a bound does not exist for stable systoles of dimension at least two. Additionally, we prove that the stable systolic constant depends only on the image of the fundamental class in a suitable Eilenberg-Mac Lane space. Consequently, the stable $k$-systolic constant is completely determined by the multilinear intersection form on $k$-dimensional cohomology. | |
| dc.description | 15 pages; Theorem 1.4 is improved, the dependence on the intersection form is clearified | |
| dc.identifier | https://arxiv.org/abs/0708.2589 | |
| dc.identifier | http://arxiv.org/abs/0708.2589 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158914 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C23, 53C20 | |
| dc.title | On manifolds satisfying stable systolic inequalities | |
| dc.type | text |