Symplectic structure of the moduli space of sheaves on an abelian or K3 surface.
Symplectic structures and cohomologies on some solvmanifolds.
Symplectic subvarieties of projective fibrations over symplectic manifolds
Given a symplectic fibration , with compact and symplectic and the fibres complex projective, we produce symplectic submanifolds of analytic in the vertical direction, and apply this to complex vector bundles on symplectic manifolds.
Symplectic Topology and Extemal Rays.
Symplectic Topology and Hamiltonian Dynamics.
Symplectic Topology and Hamiltonian Dynamics II.
Symplectic topology as the geometry of generating functions.
Symplectic topology of integrable hamiltonian systems, I : Arnold-Liouville with singularities
Symplectic torus actions with coisotropic principal orbits
In this paper we completely classify symplectic actions of a torus on a compact connected symplectic manifold when some, hence every, principal orbit is a coisotropic submanifold of . 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,...
Symplectic twistor operator and its solution space on
We introduce the symplectic twistor operator in symplectic spin geometry of real dimension two, as a symplectic analogue of the Dolbeault operator in complex spin geometry of complex dimension 1. Based on the techniques of the metaplectic Howe duality and algebraic Weyl algebra, we compute the space of its solutions on .
Symplectomorphism groups and isotropic skeletons.
Sympletic Curvature Tensors.
Synchronizable observer fields and their restspaces.
Synge-Beil and Riemann-Jacobi jet structures with applications to physics.
Systèmes hamiltoniens k-symplectiques.
We study some properties of the k-symplectic Hamiltonian systems in analogy with the well-known classical Hamiltonian systems. The integrability of k-symplectic Hamiltonian systems and the relationships with the Nambu's statistical mechanics are given.
Systems of covers of frames and resulting subframes
Systems of rays in the presence of distribution of hyperplanes
Horizontal systems of rays arise in the study of integral curves of Hamiltonian systems on T*X, which are tangent to a given distribution V of hyperplanes on X. We investigate the local properties of systems of rays for general pairs (H,V) as well as for Hamiltonians H such that the corresponding Hamiltonian vector fields are horizontal with respect to V. As an example we explicitly calculate the space of horizontal geodesics and the corresponding systems of rays for the canonical distribution...
Systems of Toda Type, Inverse Spectral Problems, and Representation Theory.
Systole et invariant d'Hermite.
Systoles et applications selon Gromov