A note on actions of the symplectic group Sp(2g,Z) on homology spheres
| dc.creator | Zimmermann, Bruno P. | |
| dc.date | 2009-03-17 | |
| dc.date.accessioned | 2026-07-07T12:53:09Z | |
| dc.date.available | 2026-07-07T12:53:09Z | |
| dc.description | The symplectic group Sp(2g,Z) is a subgroup of the linear group SL(2g,Z) and admits a faithful action on the sphere S^(2g-1), induced from its linear action on Euclidean space R^(2g). Generalizing corresponding results for linear groups, we show that, if m < 2g-1 and g > 2, any continuous action of Sp(2g,Z) on a homology m-sphere, and in particular on S^m, is trivial. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/0903.2946 | |
| dc.identifier | http://arxiv.org/abs/0903.2946 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223527 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57S25; 57M60 | |
| dc.title | A note on actions of the symplectic group Sp(2g,Z) on homology spheres | |
| dc.type | text |