A rank theorem for analytic maps between power series spaces
A representation of the space ... (K).
A stochastic scheme for constructing solutions of the Schrödinger equations
A symplectic fixed point theorem for ...Cpn.
A unitarization process for some-locally compact topological groups.
About a decomposition of the space of symmetric tensors of compact support on a Riemann manifold.
Actions de groupes de Kazhdan sur le cercle
Actions de groupes sur les -variétés non séparées et feuilletages de codimension un
Actions of the group of homeomorphisms of the circle on surfaces
We describe all the group morphisms from the group of orientation-preserving homeomorphisms of the circle to the group of homeomorphisms of the annulus or of the torus.
Affine Actions of Higher Rank Lattices.
An acyclic extension of the braid group.
An Arzela-Ascoli theorem for immersed submanifolds
The classical Arzela-Ascoli theorem is a compactness result for families of functions depending on bounds on the derivatives of the functions, and is of invaluable use in many fields of mathematics. In this paper, inspired by a result of Corlette, we prove an analogous compactness result for families of immersed submanifolds which depends only on bounds on the derivatives of the second fundamental forms of these submanifolds. We then show how the result of Corlette may be obtained as an immediate...
An expression of classical dynamics
An index inequality for embedded pseudoholomorphic curves in symplectizations
Let be a surface with a symplectic form, let be a symplectomorphism of , and let be the mapping torus of . We show that the dimensions of moduli spaces of embedded pseudoholomorphic curves in , with cylindrical ends asymptotic to periodic orbits of or multiple covers thereof, are bounded from above by an additive relative index. We deduce some compactness results for these moduli spaces. This paper establishes some of the foundations for a program with Michael Thaddeus, to understand...
Anti-periodic solutions of some nonlinear evolution equations.
Application of Rothe's method to evolution integrodifferential systems
Approximation par la diffusion et automorphismes hyperboliques du tore
Asymptotic behavior of the L2-metric on moduli spaces of Yang-Mills connections.
Asymptotic behavior of the L2-metric on moduli spaces of Yang-Mills connections, II.
Asymptotic behaviour and the moduli space of doubly-periodic instantons
We study doubly-periodic instantons, i.e. instantons on the product of a 1-dimensional complex torus with a complex line , with quadratic curvature decay. We determine the asymptotic behaviour of these instantons, constructing new asymptotic invariants. We show that the underlying holomorphic bundle extends to . The converse statement is also true, namely a holomorphic bundle on which is flat on the torus at infinity, and satisfies a stability condition, comes from a doubly-periodic instanton....