Déploiement universel d'une application de codimension finie
Determination of the topological structure of an orbifold by its group of orbifold diffeomorphisms.
Diffeomorphism groups on noncompact manifolds
Diffeomorphisms of the Circle and Geodesic Fields on Riemannian Surfaces of Genus One.
Dirac and Plateau billiards in domains with corners
Groping our way toward a theory of singular spaces with positive scalar curvatures we look at the Dirac operator and a generalized Plateau problem in Riemannian manifolds with corners. Using these, we prove that the set of C 2-smooth Riemannian metrics g on a smooth manifold X, such that scalg(x) ≥ κ(x), is closed under C 0-limits of Riemannian metrics for all continuous functions κ on X. Apart from that our progress is limited but we formulate many conjectures. All along, we emphasize geometry,...
Distributions Invariant under a Group of Diffeomorphisms.
Donaldson invariants of certain symplectic manifolds.
Ein Homotopieerweiterungssatz für kompakte Vektorfelder in topologischen Vektorräumen (Vorläufige Mitteilung)
Ein Indexsatz für Flächen konstanter mittlerer Krümmung.
Einstein Metrics and Complex Structures.
Ensembles singuliers topologiques dans les espaces fonctionnels entre variétés
Equivariance, variational principles, and the Feynman integral.
Equivariant Cohomology and Topological Theories
Equivariant Jets.
Equivariant maps of joins of finite G-sets and an application to critical point theory
A lower estimate is proved for the number of critical orbits and critical values of a G-invariant C¹ function , where G is a finite nontrivial group acting freely and orthogonally on . Neither Morse theory nor the minimax method is applied. The proofs are based on a general version of Borsuk’s Antipodal Theorem for equivariant maps of joins of G-sets.
Erratum : «Approximation par la diffusion et automorphismes hyperboliques du tore»
Étude des -structures de codimension 1 sur la sphère
Cet article contient une démonstration géométrique simple de pour .Ce résultat (démontré aussi par Mather comme corollaire d’un théorème beaucoup plus général) apparaît comme une conséquence du théorème de Michael Herman : .L’appendice contient une étude des structures sur les surfaces et un résultat sur la cohomologie de .
Étude homotopique des espaces de plongements
Evolution differential equations in Fréchet sequence spaces
We consider evolution differential equations in Fréchet spaces with unconditional Schauder basis, and construct a version of the majorant functions method to obtain existence theorems for Cauchy problems. Applications to PDE are also considered.
Existence et compacité d'immersions isométriques elliptiques