English

Singular polarizations and symplectic embeddings

Symplectic Geometry 2010-11-30 v1

Abstract

We prove in this paper that any 4-dimensional symplectic manifold is essentially made of finitely many symplectic ellipsoids. The key tool is a singular analogue of Donaldson's symplectic hypersurfaces in irrational symplectic manifolds.

Keywords

Cite

@article{arxiv.1011.6358,
  title  = {Singular polarizations and symplectic embeddings},
  author = {Emmanuel Opshtein},
  journal= {arXiv preprint arXiv:1011.6358},
  year   = {2010}
}

Comments

25 pages

R2 v1 2026-06-21T16:50:36.329Z