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Article Dans Une Revue Inventiones Mathematicae Année : 2009

Semitoric integrable systems on symplectic 4-manifolds

Résumé

Let M be a symplectic 4-manifold. A semitoric integrable system on M is a pair of real-valued smooth functions J, H on M for which J generates a Hamiltonian S^1-action and the Poisson brackets {J,H} vanish. We shall introduce new global symplectic invariants for these systems; some of these invariants encode topological or geometric aspects, while others encode analytical information about the singularities and how they stand with respect to the system. Our goal is to prove that a semitoric system is completely determined by the invariants we introduce.

Dates et versions

hal-00291767 , version 1 (29-06-2008)

Identifiants

Citer

Alvaro Pelayo, San Vu Ngoc. Semitoric integrable systems on symplectic 4-manifolds. Inventiones Mathematicae, 2009, 177 (3), pp.571-597. ⟨10.1007/s00222-009-0190-x⟩. ⟨hal-00291767⟩
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