Isotopy of symplectic balls, Gromov's radius and the structure of ruled symplectic 4-manifolds

DOI10.1007/BF01450487zbMath0812.53032OpenAlexW2066749764MaRDI QIDQ1340912

François Lalonde

Publication date: 21 December 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165253

zbMATH Keywords

capacityblowing-up processruled symplectic 4-manifoldssymplectic radius

Mathematics Subject Classification ID

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

Related Items

Gromov width of symplectic toric manifolds associated with graphs ⋮ Uniqueness of symplectic structures ⋮ The homotopy Lie algebra of symplectomorphism groups of 3-fold blow-ups of the projective plane ⋮ Spherical Lagrangians via ball packings and symplectic cutting ⋮ Lagrangian spheres, symplectic surfaces and the symplectic mapping class group ⋮ On the existence of periodic orbits for magnetic systems on the two-sphere ⋮ Gromov-Witten invariants and pseudo symplectic capacities ⋮ The topology of the space of symplectic balls in rational 4-manifolds ⋮ Symplectic topology on subcritical manifolds ⋮ The homotopy type of the space of symplectic balls in rational ruled 4-manifolds ⋮ Symplectic topology in the nineties ⋮ Nongeneric \(J\)-holomorphic curves and singular inflation

Cites Work

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• Pseudo holomorphic curves in symplectic manifolds
• Immersed spheres in symplectic 4-manifolds
• Birational equivalence in the symplectic category
• The Structure of Rational and Ruled Symplectic 4-Manifolds
• Vector Bundles Over an Elliptic Curve
• Partial Differential Relations
• Notes on Ruled Symplectic 4-Manifolds
• Complex Fibre Bundles and Ruled Surfaces