Preparation theorems for systems
Problèmes rencontrés dans mon parcours mathématique : un bilan
Projections and reflections of generic surfaces in R...
Quelques calculs en cobordisme lagrangien
Nous considérons les groupes de cobordisme (définis par Arnold) d’immersions lagrangiennes exactes de variétés compactes dans . Grâce au théorème de Gromov-Lees, leur calcul est celui des groupes d’homotopie de spectres de Thom construits sur les espaces (cas non-orienté, le calcul est alors dû à Smith et Stong) et (cas orienté, groupes dont nous calculons la “partie paire”, et sur la “partie impaire” desquels nous donnons des informations). Nous calculons aussi les images de ces groupes dans...
Recognition of -singularities of functions.
Reducibility theorems for differentiable liftings in fiber bundles
Relative cohomology and volume forms
Remarks on the symmetries of planar fronts.
A front is the projection on the plane of a Legendrian immersion of a circle in the space of the contact elements of that plane. I analyze the symmetries of a generic front with respect to the group generated by the involutions reversing the orientation of the plane, the orientation of the preimage circle and the coorientation of the contact plane.
Removable singularities for the Yang-Mills-Higgs equations in two dimensions
Résultats nouveaux a propos des conjectures de Lichnerowicz et de Carathéodory
Simple singularities of functions on supermanifolds.
Singular Hamiltonian systems and symplectic capacities
The purpose of this paper is to develop the basics of a theory of Hamiltonian systems with non-differentiable Hamilton functions which have become important in symplectic topology. A characteristic differential inclusion is introduced and its equivalence to Hamiltonian inclusions for certain convex Hamiltonians is established. We give two counterexamples showing that basic properties of smooth systems are violated for non-smooth quasiconvex submersions, e.g. even the energy conservation which nevertheless...
Singularités de bord : dualité, formules de Picard Lefschetz relatives et diagrammes de Dynkin
Singularités non dégénérées des systèmes de Gauss-Manin réticulés
Singularities of envelopes of families of submanifolds in
Singularities of k-tuples of vector fields [Book]
Singularities of the maximum function over a preimage
Singularities of Vector Fields on the Plane With Pointed Direction.
Smooth linearization of germs of -actions and holomorphic vector fields
The paper contains a generic condition permitting the linearization in class , , of germs of singular infinitesimal -actions on and of singular holomorphic...
Some stability questions concerning caustics for different propagation laws.