The topology of the space of symplectic balls in rational 4-manifolds

DOI10.1215/S0012-7094-04-12223-7zbMath1063.57023arXivmath/0207096OpenAlexW2015834460MaRDI QIDQ707491

François Lalonde, Martin Pinsonnault

Publication date: 9 February 2005

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

Full work available at URL: https://arxiv.org/abs/math/0207096

zbMATH Keywords

embeddingblow-upsymplectic manifoldrational homotopy

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items

Restrictions on symplectic fibrations, Toric symplectic ball packing, On the rank of \(\pi_1\)(Ham), The homotopy Lie algebra of symplectomorphism groups of 3-fold blow-ups of the projective plane, Symplectic isotopy on non-minimal ruled surfaces, Sharp symplectic embeddings of cylinders, The topology of the space of symplectic balls in \(S^{2}\times S^{2}\), Exact Lagrangians in \(A_n\)-surface singularities, The symplectomorphism group of a blow up, The homotopy Lie algebra of symplectomorphism groups of 3-fold blowups of \((S^2\times S^2,\sigma_{\text{std}}\oplus\sigma_{\text{std}})\), The homotopy type of the space of symplectic balls in rational ruled 4-manifolds, Symplectic \((-2)\)-spheres and the symplectomorphism group of small rational 4-manifolds, Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions I, Some 6-dimensional HamiltonianS¹-manifolds, Automorphism groups and embeddings of symplectic balls into rational manifolds, Topology of spaces of equivariant symplectic embeddings, Hofer's question on intermediate symplectic capacities, Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions III, Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions II, Symplectic (-2)-spheres and the symplectomorphism group

Cites Work

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• Homotopy type of symplectomorphism groups of \(S^2 \times S^2\)
• General wall crossing formula
• Almost complex structures on \(S^2\times S^2\)
• Symplectomorphism groups and embeddings of balls into rational ruled 4-manifolds
• From symplectic deformation to isotopy
• Topology of symplectomorphism groups of rational ruled surfaces
• Submersions, fibrations and bundles