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Symplectic torus actions with coisotropic principal orbits

Johannes Jisse Duistermaat, Alvaro Pelayo (2007)

Annales de l’institut Fourier

In this paper we completely classify symplectic actions of a torus T on a compact connected symplectic manifold ( M , σ ) when some, hence every, principal orbit is a coisotropic submanifold of ( M , σ ) . That is, we construct an explicit model, defined in terms of certain invariants, of the manifold, the torus action and the symplectic form. The invariants are invariants of the topology of the manifold, of the torus action, or of the symplectic form.In order to deal with symplectic actions which are not Hamiltonian,...

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