Function spaces and Hurwitz-Radon numbers.
Harmonic Functions of Polynomial Growth on Certain Complete Manifolds.
Holonomy orbits of the snake charmer algorithm
Homologie associée à une fonctionnelle
Homotopy classification of regular sections
How to Conjugate C1-Close Group Actions.
Infinitesimal differential geometry.
La théorie des points fixes des applications à itérée condensante
Lie groupoids of mappings taking values in a Lie groupoid
Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop groups. These are prime examples of infinite-dimensional Lie groups modelled on locally convex spaces. In the present paper, we generalise this construction and show that differentiable mappings on a compact manifold (possibly with boundary) with values in a Lie groupoid form infinite-dimensional Lie groupoids which we...
Local Mappings on spaces of differentiable functions.
Loop spaces and Riemann-Hilbert problems
We present a survey of recent results concerned with generalizations of the classical Riemann-Hilbert transmission problem in the context of loop spaces. Specifically, we present a general formulation of a Riemann-Hilbert problem with values in an almost complex manifold and illustrate it by discussing two particular cases in more detail. First, using the generalized Birkhoff factorization theorem of A. Pressley and G. Segal we give a criterion of solvability for generalized Riemann-Hilbert problems...
Manifolds of smooth maps
Manifolds of smooth maps III : the principal bundle of embeddings of a non-compact smooth manifold
Manifolds of smooth maps IV : theorem of De Rham
Measures and Markov processes on function spaces
Moduli space, heights and isospectral sets of metrics
Morrey-Campanato spaces on manifolds
Nombre de points entiers dans une famille homothétique de domaines de
Non-Hamiltonian actions and Lie-algebra cohomology of vector fields.
Note on the Linear Endomorphisms of a Vector Bundle.