Symplectic structures on \(T^ 2\)-bundles over \(T^ 2\)

DOI10.1215/S0012-7094-92-06721-4zbMath0763.53037OpenAlexW1573408762MaRDI QIDQ1196420

Hansjörg Geiges

Publication date: 14 December 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-92-06721-4

zbMATH Keywords

cohomology classsymplectic form

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (23)

The classification of Lagrangian bundles over surfaces ⋮ Universal Lagrangian bundles ⋮ Obstruction theory for coincidences of multiple maps ⋮ MINIMAL ATLASES OF CLOSED SYMPLECTIC MANIFOLDS ⋮ A-foliations of codimension two on compact simply-connected manifolds ⋮ On extensions of a symplectic class ⋮ Families of 4-manifolds with nontrivial stable cohomotopy Seiberg-Witten invariants, and normalized Ricci flow ⋮ SL(2, Z) symmetries, supermembranes and symplectic torus bundles ⋮ The Calabi–Yau equation on the Kodaira–Thurston manifold ⋮ Symplectic couples on 4-manifolds ⋮ Geometric structures, Gromov norm and Kodaira dimensions ⋮ The geometry of symplectic pairs ⋮ The Calabi–Yau equation on 4-manifolds over 2-tori ⋮ Symplectic real Bott manifolds ⋮ Virtual Betti numbers and virtual symplecticity of 4-dimensional mapping tori ⋮ Local torus actions modeled on the standard representation ⋮ Lefschetz fibrations, complex structures and Seifert fibrations on \(S^1\times M^3\) ⋮ Cohomologically Symplectic Spaces: Toral Actions and the Gottlieb Group ⋮ Finite group actions on symplectic Calabi-Yau $4$-manifolds with $b_1>0$ ⋮ Geography of symplectic 4-manifolds with Kodaira dimension one ⋮ New symplectic 4-manifolds with \(b_+=1\) ⋮ Existence of symplectic structures on torus bundles over surfaces ⋮ Stability of pseudo-Kähler manifolds and cohomological decomposition

Cites Work

• Unnamed Item
• Classification of \(T^ 2-bundles\) over \(T^ 2\)
• Compact symplectic manifolds with free circle actions, and Massey products
• Geometric 4-manifolds in the sense of Thurston and Seifert 4-manifolds. I
• Geometric structures on compact complex analytic surfaces
• Remarks on geometric structures on compact complex spaces
• Kahler Structures on Compact Solvmanifolds
• The Structure of Rational and Ruled Symplectic 4-Manifolds
• Compact Parallelizable Four Dimensional Symplectic and Complex Manifolds
• Shorter Notes: Some Simple Examples of Symplectic Manifolds
• The Geometries of 3-Manifolds

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