A remark on the c--splitting conjecture
| dc.creator | Haller, Stefan | |
| dc.date | 2003-01-31 | |
| dc.date.accessioned | 2026-07-07T04:54:48Z | |
| dc.date.available | 2026-07-07T04:54:48Z | |
| dc.description | Let $M$ be a closed symplectic manifold and suppose $M\to P\to B$ is a Hamiltonian fibration. Lalonde and McDuff raised the question whether one always has $H^*(P;\mathbb Q)=H^*(M;\mathbb Q)\otimes H^*(B;\mathbb Q)$ as vector spaces. This is known as the c--splitting conjecture. They showed, that this indeed holds whenever the base is a sphere. Using their theorem we will prove the c--splitting conjecture for arbitrary base $B$ and fibers $M$ which satisfy a weakening of the Hard Lefschetz condition. | |
| dc.identifier | https://arxiv.org/abs/math/0301373 | |
| dc.identifier | http://arxiv.org/abs/math/0301373 | |
| dc.identifier | Rend. Circ. Mat. Palermo Suppl. 72(2004), 127--133. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66402 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57R17 | |
| dc.title | A remark on the c--splitting conjecture | |
| dc.type | text |