On quantum de Rham cohomology theory.
Open books on contact five-manifolds
By using open book techniques we give an alternative proof of a theorem about the existence of contact structures on five-manifolds due to Geiges. The theorem asserts that simply-connected five-manifolds admit a contact structure in every homotopy class of almost contact structures.
Orbifold adjunction formula and symplectic cobordisms between lens spaces.
Pinwheels and bypasses.
Properties of Pseudo-holomorphic Curves in Symplectisations II: Embedding Controls and Algebraic Invariants.
Properties of pseudoholomorphic curves in symplectisations. I : asymptotics
Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three.
Pseudoholomorphic strips in symplectisations I : asymptotic behavior
Quasi-morphismes et invariant de Calabi
Rabinowitz Floer homology and symplectic homology
The first two authors have recently defined Rabinowitz Floer homology groups associated to a separating exact embedding of a contact manifold into a symplectic manifold . These depend only on the bounded component of . We construct a long exact sequence in which symplectic cohomology of maps to symplectic homology of , which in turn maps to Rabinowitz Floer homology , which then maps to symplectic cohomology of . We compute , where is the unit cosphere bundle of a closed manifold...
Rank and -nullity of contact manifolds.
Recollement de variétés de contact tendues
Rectificatif à l'article «Recollement de variétés de contact tendues»
Rounding corners of polygons and the embedded contact homology of .
Seiberg-Witten invariants and pseudo-holomorphic subvarieties for self-dual, harmonic 2-forms.
Singular Lefschetz pencils.
Some lagrangian invariants of symplectic manifolds
The KV-homology theory is a new framework which yields interesting properties of lagrangian foliations. This short note is devoted to relationships between the KV-homology and the KV-cohomology of a lagrangian foliation. Let us denote by (resp. ) the KV-algebra (resp. the space of basic functions) of a lagrangian foliation F. We show that there exists a pairing of cohomology and homology to . That is to say, there is a bilinear map , which is invariant under F-preserving symplectic diffeomorphisms....
Sur la torsion des structures de contact tendues
Symplectic fillability of tight contact structures on torus bundles.
Symplectic fillings and positive scalar curvature.