Maximal compact tori in the Hamiltonian group of 4-dimensional symplectic manifolds

DOI10.3934/jmd.2008.2.431zbMath1154.57023arXivmath/0612565OpenAlexW1996792934MaRDI QIDQ950636

Martin Pinsonnault

Publication date: 30 October 2008

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612565

zbMATH Keywords

4-manifold\(J\)-holomorphic curvesHamiltonian actionsymplectomorphism groupHamiltonian automorphism

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Momentum maps; symplectic reduction (53D20)

Related Items (8)

The topology of toric symplectic manifolds ⋮ Loops in the fundamental group of which are not represented by circle actions ⋮ Lagrangian spheres, symplectic surfaces and the symplectic mapping class group ⋮ New compact forms of the trigonometric Ruijsenaars-Schneider system ⋮ Exact Lagrangians in \(A_n\)-surface singularities ⋮ Some 6-dimensional HamiltonianS¹-manifolds ⋮ Toric actions in cosymplectic geometry ⋮ Symplectic (-2)-spheres and the symplectomorphism group

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