We classify four-dimensional manifolds endowed with symplectic pairs admitting embedded symplectic spheres with nonnegative self-intersection, following the strategy of McDuff’s classification of rational and ruled symplectic four-manifolds.
Holomorphic spheres and four-dimensional symplectic pairs
gianluca bande
;paolo ghiggini
2020-01-01
Abstract
We classify four-dimensional manifolds endowed with symplectic pairs admitting embedded symplectic spheres with nonnegative self-intersection, following the strategy of McDuff’s classification of rational and ruled symplectic four-manifolds.
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