The second variation of area of minimal surfaces in four-manifolds.
The Singular Set of an energy minimzing map from B4 to S2.
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 Smith Conjecture in dimension four and equivariant gauge theory.
The solution of a Fučík's conjecture
The Strong Rigidity of Locally Symmetric Complex Manifolds of Rank One and Finite Volume.
The structure and limiting behavior of locally optimal minimizers
The structure of the critical set in the general mountain pass principle
The structure of the cut locus in dimension less than or equal to six
The symmetry of minimizing harmonic maps from a two dimensional domain to the sphere
The total divergence equation.
The Tzitzeica surface as solution of PDE systems.
The uniqueness for minimal surfaces in S3.
The use of Cerami sequences in critical point theory.
The Weak Solutions to the Evolution Problems of Harmonic Maps.
The Weinstein Conjecture in P X Cl.
Théorie de Morse (d'après E. Witten)
Theory of coverings in the study of Riemann surfaces
For a G-covering Y → Y/G = X induced by a properly discontinuous action of a group G on a topological space Y, there is a natural action of π(X,x) on the set F of points in Y with nontrivial stabilizers in G. We study the covering of X obtained from the universal covering of X and the left action of π(X,x) on F. We find a formula for the number of fixed points of an element g ∈ G which is a generalization of Macbeath's formula applied to an automorphism of a Riemann surface. We give a new method...