The L2-Structure of Moduli spaces of Einstein Metrics on 4-Manifolds.
The Lie group of real analytic diffeomorphisms is not real analytic
We construct an infinite-dimensional real analytic manifold structure on the space of real analytic mappings from a compact manifold to a locally convex manifold. Here a map is defined to be real analytic if it extends to a holomorphic map on some neighbourhood of the complexification of its domain. As is well known, the construction turns the group of real analytic diffeomorphisms into a smooth locally convex Lie group. We prove that this group is regular in the sense of Milnor. ...
The manifold of Euclidean inner products of sphere.
The Moduli Space of Complete Embedded Constant Mean Cuvature Surfaces.
The moduli space of special lagrangian submanifolds
The push-out space of immersed spheres.
The Seiberg-Witten invariants of symplectic four-manifolds
The simplicity of certain groups of homeomorphisms
The singularities of Yang-Mills connections for bundles on a surface.
The singularities of Yang-Mills connections for bundles on a surface.
The singularity structureοf the Yang-Mills configuration space
The geometric description of Yang–Mills theories and their configuration space is reviewed. The presence of singularities in M is explained and some of their properties are described. The singularity structure is analysed in detail for structure group SU(2). This review is based on [28].
The space : minimal connection and optimal lifting
The space of Lipschitz maps from a compactum to an absolute neighborhood LIP extensor
The space of negative scalar curvature metrics.
The symplectic geometry of affine connenctions on surfaces.
The tangent bundle of an almost-complex free loopspace.
The topology of the Yang-Mills theory over torus
Théorie de jauge et symétries des fibrés
Soit un -fibré principal différentiable sur une variété ( un groupe de Lie compact). Étant donné une action d’un groupe de Lie compact sur , on se pose la question de savoir si elle provient d’une action sur le fibré . L’originalité de ce travail est de relier ce problème à l’existence de points fixes pour les actions de que l’on induit naturellement sur divers espaces de modules de -connexions sur .
There are Two Isotopic Morse-Smale Diffeomorphisms Which Cannot be Joined by Simple Arcs.
Topologically -determined map germs are topologically cone-like