Weakly Lefschetz symplectic manifolds
From MaRDI portal
Publication:3420383
DOI10.1090/S0002-9947-06-04114-6zbMath1111.53065arXivmath/0404479MaRDI QIDQ3420383
Vicente Muñoz, Marisa Fernández, Luis Ugarte
Publication date: 1 February 2007
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0404479
Symplectic manifolds (general theory) (53D05) Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)
Related Items (3)
\(L^2\)-hard Lefschetz complete symplectic manifolds ⋮ Lefschetz decomposition for de Rham cohomology on weakly Lefschetz symplectic manifolds ⋮ Hard Lefschetz property of symplectic structures on compact Kähler manifolds
Cites Work
- Unnamed Item
- Examples of simply-connected symplectic non-Kählerian manifolds
- A differential complex for Poisson manifolds
- Kähler and symplectic structures on nilmanifolds
- Closed 2-forms and an embedding theorem for symplectic manifolds
- Les variétés de Poisson et leurs algèbres de Lie associees
- Symplectic submanifolds and almost-complex geometry
- Asymptotically holomorphic families of symplectic submanifolds
- Cohomologically Kähler manifolds with no Kähler metrics
- Formality of Donaldson submanifolds
- Symplectic subvarieties of projective fibrations over symplectic manifolds
- Harmonic cohomology classes of symplectic manifolds
- A new construction of symplectic manifolds
- A six dimensional compact symplectic solvmanifold without Kähler structures
- Hodge structure on symplectic manifolds
- On the cohomology of compact homogeneous spaces of nilpotent Lie groups
- Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds
- The Lefschetz property, formality and blowing up in symplectic geometry
- Partial Differential Relations
- Compact Parallelizable Four Dimensional Symplectic and Complex Manifolds
- Shorter Notes: Some Simple Examples of Symplectic Manifolds
- Almost holomorphic embeddings in Grassmannians with applications to singular symplectic submanifolds
- On the Structure of Compact Complex Analytic Surfaces, I
- On symplectically harmonic forms on six-dimensional nil-manifolds
This page was built for publication: Weakly Lefschetz symplectic manifolds
