Almost holomorphic embeddings in Grassmannians with applications to singular symplectic submanifolds

DOI10.1515/crll.2002.048zbMath1004.53042arXivmath/0002212OpenAlexW2963574788MaRDI QIDQ4529766

Vicente Muñoz, Francisco Presas, Ignacio Sols

Publication date: 6 May 2002

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0002212

zbMATH Keywords

Grassmannianssymplectic manifoldcompatible almost complex structure

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Symplectic manifolds (general theory) (53D05) Global submanifolds (53C40)

Related Items (8)

Approximately holomorphic geometry and estimated transversality on 2-calibrated manifolds ⋮ Asymptotically holomorphic theory for symplectic orbifolds ⋮ Formality and the Lefschetz property in symplectic and cosymplectic geometry ⋮ Asymptotically holomorphic embeddings of presymplectic manifolds ⋮ Hodge structures on cohomology algebras and geometry ⋮ Generic linear systems for projective CR manifolds ⋮ Weakly Lefschetz symplectic manifolds ⋮ The geometry of 2-calibrated manifolds

Cites Work

• Lefschetz fibrations in symplectic geometry
• Closed 2-forms and an embedding theorem for symplectic manifolds
• Symplectic 4-manifolds as branched coverings of \(\mathbb C\mathbb P^2\)

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