Local and nice structures of the groupoid of an equivalence relation
Localization of basic characteristic classes
We introduce basic characteristic classes and numbers as new invariants for Riemannian foliations. If the ambient Riemannian manifold is complete, simply connected (or more generally if the foliation is a transversely orientable Killing foliation) and if the space of leaf closures is compact, then the basic characteristic numbers are determined by the infinitesimal dynamical behavior of the foliation at the union of its closed leaves. In fact, they can be computed with an Atiyah-Bott-Berline-Vergne-type...
Maximal ideals in Loc (M,F).
Maximal subalgebra in the algebra of foliated vector fields of a Riemannian foliation.
Mean curvature functions for codimension-one foliations with all leaves compact
Mean curvature functions of codimension-one foliations.
Mean curvature functions of codimension-one foliations. II.
Measure preserving pseudo-groups and a theorem of Sacksteder
This note is based on a theorem of Sacksteder which generalizes a classical result of Denjoy. Using this theorem and results on the existence of invariant measures, new results are obtained concerning minimal sets for groups of diffeomorphisms of the circle and for foliations of codimension one.
Measured foliations on nonorientable surfaces
Minimal sets of foliations on complex projective spaces
Morphismes -orientés d’espaces de feuilles et fonctorialité en théorie de Kasparov (d’après une conjecture d’A. Connes)
Morphisms between spaces of leaves viewed as fractions
Multifoliations on Open Manifolds.
Multiplicity of a foliation on projective spaces along an integral curve.
We compute the global multiplicity of a 1-dimensional foliation along an integral curve in projective spaces. We give a bound in the way of Poincaré problem for a complete intersection curves. In the projective plane, this bound give us a bound of the degree of non irreducible integral curves in function of the degree of the foliation.
Natural liftings of foliations to the tangent bundle
A classification of natural liftings of foliations to the tangent bundle is given.
Natural transformations of foliations into foliations on the cotangent bundle
Noeuds et structures de contact en dimension 3
Nombre de Lefschetz basique pour un feuilletage riemannien
Nombres de Betti et facteurs de type
Damien Gaboriau a montré récemment que les nombres de Betti des feuilletages mesurés à feuilles contractiles sont des invariants de la relation d’équivalence associée. Sorin Popa a utilisé ce résultat joint à des propriétés de rigidité des facteurs de type II pour en déduire l’existence de facteurs de type II dont le groupe fondamental est trivial.
Non-commutative symmetric Markov semigroups.