2010/11/29 by Emmanuel Opshtein, Opshtein, Emmanuel · 6 citations
Mathematics · #53D05 #Advanced Algebra and Geometry #Computer science #FOS: Mathematics #Geometric and Algebraic Topology #Geometry #Geometry and complex manifolds #Irrational number #Key (lock) #Mathematics #Moment map #Pure mathematics #Symplectic Geometry (math.SG) #Symplectic geometry #Symplectic manifold #Symplectic representation #Symplectic vector space #Symplectomorphism #math.SG #msc:53D05
paper · pdf · doi:10.48550/arxiv.1011.6358
published in arXiv (Cornell University) (Cornell University) · 25 pages
arxiv created 2010/11/29 · openalex publication_date 2010/11/29 · arxiv updated 2010/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
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.