Restrictions on symplectic fibrations
| dc.creator | Kedra, Jaroslaw | |
| dc.date | 2002-03-22 | |
| dc.date.accessioned | 2026-07-07T04:47:14Z | |
| dc.date.available | 2026-07-07T04:47:14Z | |
| dc.description | Moduli spaces of stable pseudoholomorphic curves can be defined parametrically, i.e. over total spaces of symplectic fibrations. This imposes several restrictions on the spectral sequence of a symplectic fibration. We prove that, under certain assumptions, a Hamiltonian fibration c-splits, i.e. the spectral sequence associated to the fibration collapses at E_2. Moreover, we obtain a new estimate of the rank of flux groups. In the appendix, we provide examples of nonzero Gromov-Witten invariants for blow-ups. As an application, we prove that any Hamiltonian fibration with fibre being projective space CP^5 blown-up along 4-dimensional symplectic submanifold c-splits. | |
| dc.description | An appendix written jointly with Kaoru Ono | |
| dc.identifier | https://arxiv.org/abs/math/0203232 | |
| dc.identifier | http://arxiv.org/abs/math/0203232 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63631 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57R17;53D45 | |
| dc.title | Restrictions on symplectic fibrations | |
| dc.type | text |