English

Holomorphic spheres and four-dimensional symplectic pairs

Symplectic Geometry 2019-03-05 v2

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.

Keywords

Cite

@article{arxiv.1802.00790,
  title  = {Holomorphic spheres and four-dimensional symplectic pairs},
  author = {Gianluca Bande and Paolo Ghiggini},
  journal= {arXiv preprint arXiv:1802.00790},
  year   = {2019}
}

Comments

Accepted on JGEA. Last section canceled, typos corrected and some incorrect citations changed after suggestion of the referee

R2 v1 2026-06-23T00:09:05.332Z