Lectures on groups of symplectomorphisms
Fibrations in symplectic topology.
Homotopy properties of Hamiltonian group actions.
Hofer-Zehnder capacity and length minimizing Hamiltonian paths.
Local homology of groups of volume-preserving diffeomorphisms, II.
Symplectic diffeomorphisms and the flux homomorphism.
Symplectic manifolds with contact type boundaries.
The homology of some groups of diffeomorphisms.
Immersed spheres in symplectic 4-manifolds
We discuss conditions under which a symplectic 4-manifold has a compatible Kähler structure. The theory of -holomorphic embedded spheres is extended to the immersed case. As a consequence, it is shown that a symplectic 4-manifold which has two different minimal reductions must be the blow-up of a rational or ruled surface.
Applications of convex integration to symplectic and contact geometry
We apply Gromov’s method of convex integration to problems related to the existence and uniqueness of symplectic and contact structures
Local homology of groups of volume-preserving diffeomorphisms. III
Local homology of groups of volume preserving diffeomorphisms. I
-minimal subsets of the circle
Necessary conditions are found for a Cantor subset of the circle to be minimal for some -diffeomorphism. These conditions are not satisfied by the usual ternary Cantor set.
Hofer's L...-geometry: energy and stability of Hamiltonian flows, part I.
Hofer's L...-geometry: energy and stability of Hamiltonian flows, part II.
Symplectic packings and algebraic geometry. (with an Appendix by Y. Karshon).
Acyclic groups of automorphisms.
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