On the uniqueness of the analyticity of a proper G-action.
One-parameter submonoids in locally complete differentiable monoids
Opérateurs elliptiques et mesures sur l'espace des lacets invariants par le groupe des difféomorphismes du cercle
Orbifold Riemann surfaces and the Yang-Mills-Higgs equations
Outer automorphism groups of Bieberbach groups.
Parametric homotopy principle of some partial differential relations
Path integrals in finite sets
Permutations; isotropy and smooth cyclic group actions on definite 4-manifolds.
Perturbations of the metric in Seiberg-Witten equations
Let a compact connected oriented 4-manifold. We study the space of -structures of fixed fundamental class, as an infinite dimensional principal bundle on the manifold of riemannian metrics on . In order to study perturbations of the metric in Seiberg-Witten equations, we study the transversality of universal equations, parametrized with all -structures . We prove that, on a complex Kähler surface, for an hermitian metric sufficiently close to the original Kähler metric, the moduli space...
Plongements lipschitziens dans un espace pentagonal
Pointed -surfaces
Let be a Riemann surface. Let be the -dimensional hyperbolic space and let be its ideal boundary. In our context, a Plateau problem is a locally holomorphic mapping . If is a convex immersion, and if is its exterior normal vector field, we define the Gauss lifting, , of by . Let be the Gauss-Minkowski mapping. A solution to the Plateau problem is a convex immersion of constant Gaussian curvature equal to such that the Gauss lifting is complete and . In this paper, we show...
Poisson geometry of flat connections for SU(2)-bundles on surfaces.
Poisson structures on certain moduli spaces for bundles on a surface
Let be a closed surface, a compact Lie group, with Lie algebra , and a principal -bundle. In earlier work we have shown that the moduli space of central Yang-Mills connections, with reference to appropriate additional data, is stratified by smooth symplectic manifolds and that the holonomy yields a homeomorphism from onto a certain representation space , in fact a diffeomorphism, with reference to suitable smooth structures and , where denotes the universal central extension of...
Pontryagin duality for convergence groups of unimodular continuous functions
Prescribing mean curvature: existence and uniqueness problems.
Profinite and finite groups associated with loop and diffeomorphism groups of non-Archimedean manifolds.
Projections and reflections of generic surfaces in R...
Projective structure and integrable geodesic flows on the extension of Bott-Virasoro group.
Quantization of a dimensionally reduced Seiberg-Witten moduli space.
Quantum Mechanics of Guiding Center Motion in Strong Magnetic Field (Coherent State Path Integral Approach)
A new approach is proposed for the quantum mechanics of guiding center motion in strong magnetic field. This is achieved by use of the coherent state path integral for the coupled systems of the cyclotron and the guiding center motion. We are specifically concerned with the effective action for the guiding center degree, which can be used to get the Bohr- Sommerfeld quantization scheme. The quantization rule is similar to the one for the vortex motion as a dynamics of point particles.