Abstract
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, among others, that under certain assumptions the spectral sequence collapses at E-2. In the appendix, we prove nontriviality of certain Gromov-Witten invariant for blow-ups. As an application we obtain that any Hamiltonian fibration with the blow-up of CP5 along four dimensional submanifold as a fibre c-splits. That is its spectral sequence collapses. (C) 2004 Elsevier B.V. All rights reserved.
Original language | English |
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Pages (from-to) | 93-112 |
Number of pages | 19 |
Journal | Differential Geometry and its Applications |
Volume | 21 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2004 |
Keywords
- symplectic fibration
- spectral sequence
- flux
- QUANTUM HOMOLOGY