Immersed spheres in symplectic 4-manifolds

DOI10.5802/aif.1296zbMath0756.53021OpenAlexW2486133752MaRDI QIDQ1203373

Dusa McDuff

Publication date: 8 February 1993

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1992__42_1-2_369_0

zbMATH Keywords

blow-upKähler structuresymplectic 4-manifoldKähler surfaces\(J\)- holomorphic embedded spheres

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

Isotopy of symplectic balls, Gromov's radius and the structure of ruled symplectic 4-manifolds, Symplectic gluing along hypersurfaces and resolution of isolated orbifold singularities, Logarithmic asymptotics of the genus zero {G}romov-{W}itten invariants of the blown up plane, Double points and the proper transform in symplectic geometry, Classification of genus-1holomorphic Lefschetz pencils, Mass, Kähler manifolds, and symplectic geometry, Punctured holomorphic curves and Lagrangian embeddings, A gap theorem for half-conformally flat manifolds, Kodaira dimension of fiber sums along spheres, Many closed symplectic manifolds have infinite Hofer–Zehnder capacity, The symplectic isotopy problem for rational cuspidal curves

Cites Work

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• New Invariants of Open Symplectic and Contact Manifolds
• Compact Parallelizable Four Dimensional Symplectic and Complex Manifolds
• Shorter Notes: Some Simple Examples of Symplectic Manifolds
• Gromov's Compactness Theorem for Pseudo Holomorphic Curves
• Notes on Ruled Symplectic 4-Manifolds