Displaying similar documents to “Levi-flat invariant sets of holomorphic symplectic mappings”

Invariant properties of the generalized canonical mappings

Stanisław Janeczko (1999)

Banach Center Publications

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One of the fundamental objectives of the theory of symplectic singularities is to study the symplectic invariants appearing in various geometrical contexts. In the paper we generalize the symplectic cohomological invariant to the class of generalized canonical mappings. We analyze the global structure of Lagrangian Grassmannian in the product symplectic space and describe the local properties of generic symplectic relations.

Symplectic subvarieties of projective fibrations over symplectic manifolds

Roberto Paoletti (1999)

Annales de l'institut Fourier

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Given a symplectic fibration E → M , with M compact and symplectic and the fibres complex projective, we produce symplectic submanifolds of E analytic in the vertical direction, and apply this to complex vector bundles on symplectic manifolds.