Signatures of foliated surface bundles and the symplectomorphism groups of surfaces
| dc.creator | Kotschick, D. | |
| dc.creator | Morita, S. | |
| dc.date | 2003-05-13 | |
| dc.date.accessioned | 2026-07-07T04:57:57Z | |
| dc.date.available | 2026-07-07T04:57:57Z | |
| dc.description | For any closed oriented surface F of genus at least three, we prove the existence of foliated F-bundles over surfaces such that the signatures of the total spaces are non-zero. We can arrange that the total holonomy of the horizontal foliations preserve a prescribed symplectic form on the fiber. We relate the cohomology class represented by the transverse symplectic form to a crossed homomorphism from the symplectomophism group of the fiber to its first real cohomology. This crossed homomorphism extends the flux homomorphism defined on the identity component of the symplectomorphism group. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0305182 | |
| dc.identifier | http://arxiv.org/abs/math/0305182 | |
| dc.identifier | Topology 44 (2005), 131--149 | |
| dc.identifier | doi:10.1016/j.top.2004.05.002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67449 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R17, 57R30, 57R50 | |
| dc.title | Signatures of foliated surface bundles and the symplectomorphism groups of surfaces | |
| dc.type | text |