Constructing exotic retracts, factors of manifolds, and generalized manifolds via decompositions
Constructing generic smooth maps of a manifold into a surface with prescribed singular loci
It is known that the singular set of a generic smooth map of an -dimensional manifold into a surface is a closed 1-dimensional submanifold of and that it has a natural stratification induced by the absolute index. In this paper, we give a complete characterization of those 1-dimensional (stratified) submanifolds which arise as the singular set of a generic map in terms of the homology class they represent.
Constructing Lens Spaces by Surgery on Knots.
Constructing manifolds by homotopy equivalences I. An obstruction to constructing PL-manifolds from homology manifolds
We aim at constructing a PL-manifold which is cellularly equivalent to a given homology manifold . The main theorem says that there is a unique obstruction element in , where is the group of 3-dimensional PL-homology spheres modulo those which are the boundary of an acyclic PL-manifold. If the obstruction is zero and is compact, we obtain a PL-manifold which is simple homotopy equivalent to .
Constructing symplectic forms on 4--manifolds which vanish on circles.
Constructing taut foliations.
Construction de champs de vecteurs sans orbite périodique
Construction de sous-variétés symplectiques
Construction d’éléments dans
Construction of Einstein metrics by generalized Dehn filling
In this paper, we present a new approach to the construction of Einstein metrics by a generalization of Thurston's Dehn filling. In particular in dimension 3, we will obtain an analytic proof of Thurston's result.
Construction of Rank 2 semistable torsion free sheaves which are not limit of Vector bundles.
Construction techniques for cubical complexes, odd cubical 4-polytopes, and prescribed dual manifolds.
Constructions de feuilletages
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 geometry and complex surfaces.
Contact homology and one parameter families of Legendrian knots.
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