Holomorphic spheres and four-dimensional symplectic pairs
arXiv:1802.00790
Abstract
We classify four-dimensional manifolds endowed with symplectic pairs admitting embedded symplectic spheres with non-negative self-intersection, following the strategy of McDuff's classification of rational and ruled symplectic four manifolds.
Accepted on JGEA. Last section canceled, typos corrected and some incorrect citations changed after suggestion of the referee