Morphisms between spaces of leaves viewed as fractions
Morse index of a cyclic polygon
It is known that cyclic configurations of a planar polygonal linkage are critical points of the signed area function. In the paper we give an explicit formula of the Morse index for the signed area of a cyclic configuration. We show that it depends not only on the combinatorics of a cyclic configuration, but also on its metric properties.
Morse theory on singular spaces and Lefschetz theorems
Morse-Smale characteristic in circle-valued Morse theory.
Morse-Theorie für berandete Mannigfaltigkeiten.
Multifoliations on Open Manifolds.
Multiple Points of Immersions, and the Kahn-Priddy Theorem.
Multiple points of singular maps, Part II
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
Necessary Conditions for the Existence of Branched Coverings.
New sheaf theoretic methods in differential topology
The Mumford conjecture predicts the ring of rational characteristic classes for surface bundles with oriented connected fibers of large genus. The first proof in [11] relied on a number of well known but difficult theorems in differential topology. Most of these difficult ingredients have been eliminated in the years since then. This can be seen particularly in [7] which has a second proof of the Mumford conjecture, and in the work of Galatius [5] which is concerned mainly with a “graph” analogue...
Nielsen theory of transversal fixed point sets (with an appendix: and C0 fixed point sets are the same, by R. E. Greene)
Examples exist of smooth maps on the boundary of a smooth manifold M which allow continuous extensions over M without fixed points but no such smooth extensions. Such maps are studied here in more detail. They have a minimal fixed point set when all transversally fixed maps in their homotopy class are considered. Therefore we introduce a Nielsen fixed point theory for transversally fixed maps on smooth manifolds without or with boundary, and use it to calculate the minimum number of fixed points...
Nil groups in K-theory and surgery theory.
Nilpotent Lie algebras of vectorfields.
Noeuds et structures de contact en dimension 3
Nombre de Lefschetz basique pour un feuilletage riemannien
Nombre de points entiers dans une famille homothétique de domaines de
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.