Some Exotic Spheres with Positive Ricci Curvature.
Some infinte families of U-hypersurfaces.
Some lagrangian invariants of symplectic manifolds
The KV-homology theory is a new framework which yields interesting properties of lagrangian foliations. This short note is devoted to relationships between the KV-homology and the KV-cohomology of a lagrangian foliation. Let us denote by (resp. ) the KV-algebra (resp. the space of basic functions) of a lagrangian foliation F. We show that there exists a pairing of cohomology and homology to . That is to say, there is a bilinear map , which is invariant under F-preserving symplectic diffeomorphisms....
Some nonreduced moduli of bundles and Donaldson invariants for Dolgachev surfaces.
Some partial formulae for Stiefel-Whitney classes of Grassmannians
Some properly critical subsets of Euclidean spaces.
Some Properties of a Cohomology Group Associated to a Totally Geodesic Foliation.
Some properties of stable rank 2 bundles on algebraic surfaces.
Some rational computations of the Waldhausen algebraic K theory.
Some recent results on surfaces of general type
Some Remarks on Analytic Foliations and Analytic Branched Coverings.
Some remarks on foliated S1 bundles.
Some remarks on Lie flows.
The first part of this paper is concerned with geometrical and cohomological properties of Lie flows on compact manifolds. Relations between these properties and the Euler class of the flow are given.The second part deals with 3-codimensional Lie flows. Using the classification of 3-dimensional Lie algebras we give cohomological obstructions for a compact manifold admits a Lie flow transversely modeled on a given Lie algebra.
Some remarks on symplectic actions of compact groups.
Some remarks on the discrete Morse-Smale characteristic.
Some remarks on tubular neighborhoods and gluing in Morse-Floer homology
We discuss the gluing principle in Morse-Floer homology and show that there is a gap in the traditional proof of the converse gluing theorem. We show how this gap can be closed by the use of a uniform tubular neighborhood theorem. The latter result is only stated here. Details are given in the authors' paper, Tubular neighborhoods and the Gluing Principle in Floer homology theory, to appear.
Some results about Mastrogiacomo cohomology.
Some stability questions concerning caustics for different propagation laws.
Some Surfaces that are Distinguishable by the Global Expression of Their Volume Elements.
Some surgery formulae for maps into