Constructions of smooth 4-manifolds.
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.
Contact homology of toroidal manifolds. (Homologie de contact des variétés toroïdales.)
Contact structures on (n-1)-connected (2n+1)-manifolds
Contact topology and the structure of 5-manifolds with
We prove a structure theorem for closed, orientable 5-manifolds with fundamental group and second Stiefel-Whitney class equal to zero on . This structure theorem is then used to construct contact structures on such manifolds by applying contact surgery to fake projective spaces and certain -quotients of .
Continuous mappings with an infinite number of topologically critical points
We prove that the topological φ-category of a pair (M,N) of topological manifolds is infinite if the algebraic φ-category of the pair of fundamental groups (π₁(M),π₁(N)) is infinite. Some immediate consequences of this fact are also pointed out.
Contribution à une théorie de Smale à un paramètre dans le cas non simplement connexe
Contributions of rational homotopy theory to global problems in geometry
Controllability of systems on a nilpotent Lie group
Controlled connectivity of closed 1-forms.
Convex functions on complete noncompact manifolds : differentiable structure
Coordinate morse theory.
Corollaries of the A-H-V formula.
Correction for the paper “-bundles and exotic actions”
In [R] explicit representatives for -principal bundles over are constructed, based on these constructions explicit free -actions on the total spaces are described, with quotients exotic -spheres. To describe these actions a classification formula for the bundles is used. This formula is not correct. In Theorem 1 below, we correct the classification formula and in Theorem 2 we exhibit the correct indices of the exotic -spheres that occur as quotients of the free -actions described above.
Correction to: "An obstruction to smoothing of Gorenstein surface singularities".
Correction to “Open books and configurations of symplectic surfaces”.
Correction to “Properties of pseudoholomorphic curves in symplectisations. I : asymptotics”
Correspondence between diffeomorphism groups and singular foliations
It is well-known that any isotopically connected diffeomorphism group G of a manifold determines a unique singular foliation . A one-to-one correspondence between the class of singular foliations and a subclass of diffeomorphism groups is established. As an illustration of this correspondence it is shown that the commutator subgroup [G,G] of an isotopically connected, factorizable and non-fixing diffeomorphism group G is simple iff the foliation defined by [G,G] admits no proper minimal sets....
Counterexamples to representing homology classes by real algebraic subvarieties up to homeomorphism