4-dimensional c-symplectic -manifolds with non-empty fixed point set need not be c-Hamiltonian
The aim of this article is to answer a question posed by J. Oprea in his talk at the Workshop "Homotopy and Geometry".
A class of tight contact structures on .
A few remarks about symplectic filling.
A quantum Duistermaat-Heckamn formula?
Some aspects of Duistermaat-Heckman formula in finite dimensions are reviewed. We especulate with some of its possible extensions to infinite dimensions. In particular we review the localization principle and the geometry of loop spaces following Witten and Atiyah?s insight.
A stable classification of Lefschetz fibrations.
A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds
In this paper we show that given any 3-manifold and any non-fibered class in there exists a representation such that the corresponding twisted Alexander polynomial is zero. We obtain this result by extending earlier work of ours and by combining this with recent results of Agol and Wise on separability of 3-manifold groups. This result allows us to completely classify symplectic 4-manifolds with a free circle action, and to determine their symplectic cones.
An exotic smooth structure on .
An infinite family of tight, not semi-fillable contact three-manifolds.
An invariant of nonpositively curved contact manifolds
We define an invariant of contact structures and foliations (on Riemannian manifolds of nonpositive sectional curvature) which is upper semi-continuous with respect to deformations and thus gives an obstruction to the topology of foliations which can be approximated by isotopies of a given contact structure.
Calabi quasi-morphisms for some non-monotone symplectic manifolds.
Calculation of Rozansky-Witten invariants on the Hilbert schemes of points on a K3 surface and the generalised kummer varieties.
Chern classes of integral submanifolds of some contact manifolds.
Chirurgies de Dehn admissibles dans les variétés de contact tendues
On décrit un exemple de variété de contact universellement tendue qui devient vrillée après une chirurgie de Dehn admissible sur un entrelacs transverse.
Classification of locally symmetric contact metric manifolds.
Codimension one symplectic foliations.
We define the concept of symplectic foliation on a symplectic manifold and provide a method of constructing many examples, by using asymptotically holomorphic techniques.
Cohomologically Kähler manifolds with no Kähler metrics.
Compactness results in symplectic field theory.
Construction de sous-variétés symplectiques
Contact 3-manifolds twenty years since J. Martinet's work
The paper gives an account of the recent development in 3-dimensional contact geometry. The central result of the paper states that there exists a unique tight contact structure on . Together with the earlier classification of overtwisted contact structures on 3-manifolds this result completes the classification of contact structures on .
Contact Homology, Capacity and Non-Squeezing in via Generating Functions
Starting from the work of Bhupal we extend to the contact case the Viterbo capacity and Traynor’s construction of symplectic homology. As an application we get a new proof of the Non-Squeezing Theorem of Eliashberg, Kim and Polterovich.