Fixed Points of Periodic Differentiable Maps.
Fixed sets and free subgroups of groups acting on metric spaces.
Fixed-Point Sets of Group Actions on Finite Acyclic Complexes.
Flag Structures on Seifert Manifolds.
Flat Riemannian Manifolds are Boundaries.
Flexibility of surface groups in classical simple Lie groups
We show that a surface group of high genus contained in a classical simple Lie group can be deformed to become Zariski dense, unless the Lie group is (resp. , odd) and the surface group is maximal in some (resp. ). This is a converse, for classical groups, to a rigidity result of S. Bradlow, O. García-Prada and P. Gothen.
Flots d'Anosov sur les variétés graphées au sens de Waldhausen
Cet article est consacré à l’étude d’une large classe de flots d’Anosov sur les variétés graphées. Nous établissons un résultat général à propos des plongements de variétés de Seifert dans les variétés de dimension 3 admettant un flot d’Anosov produit, généralisant ainsi un résultat de E. Ghys. Nous montrons que, à isotopie près, la restriction du feuilletage unidimensionnel défini par le flot à l’image de ce plongement est topologiquement conjugué à un morceau de flot géodésique privé d’un nombre...
Foliations and Compact Lie Group Actions
Foliations by planes and Lie group actions
Let N be a closed orientable n-manifold, n ≥ 3, and K a compact non-empty subset. We prove that the existence of a transversally orientable codimension one foliation on N∖K with leaves homeomorphic to , in the relative topology, implies that K must be connected. If in addition one imposes some restrictions on the homology of K, then N must be a homotopy sphere. Next we consider C² actions of a Lie group diffeomorphic to on N and obtain our main result: if K, the set of singular points of the...
Foliations of defined by -actions
In this paper we give a geometric characterization of the 2-dimensional foliations on compact orientable 3-manifolds defined by a locally free smooth action of .
Formal geometric quantization
Let be a compact Lie group acting in a Hamiltonian way on a symplectic manifold which is pre-quantized by a Kostant-Souriau line bundle. We suppose here that the moment map is proper so that the reduced space is compact for all . Then, we can define the “formal geometric quantization” of asThe aim of this article is to study the functorial properties of the assignment .
Formes d'intersection et d'enlacement sur une variété
Free actions of finite groups on finite CW complexes.
Free Actions of Finite Groups on Varieties. II.
Free Actions of Finite Groups on Varieties. II. (Erratum).
Free Actions of Some Finite Groups on S3..I.
Free actions on products of spheres: The rational case.
Free Cyclic Actions on Manifolds.
Free differentiable and actions on homotopy spheres
Free groups of semigroups in semi-simple Lie groups.