-bundles and exotic actions
-cubes
Scalar Curvature, Non-Abelian Group Actions, and the Degree of Symmetry of Exotic Spheres
Schützenberger groups of some even degree polynomials in S(R).
Schwarzian derivative related to modules of differential operators on a locally projective manifold
We introduce a 1-cocycle on the group of diffeomorphisms Diff(M) of a smooth manifold M endowed with a projective connection. This cocycle represents a nontrivial cohomology class of Diff(M) related to the Diff(M)-modules of second order linear differential operators on M. In the one-dimensional case, this cocycle coincides with the Schwarzian derivative, while, in the multi-dimensional case, it represents its natural and new generalization. This work is a continuation of [3] where the same problems...
Second cohomology classes of the group of -flat diffeomorphisms
We study the cohomology of the group consisting of all -diffeomorphisms of the line, which are -flat to the identity at the origin. We construct non-trivial two second real cohomology classes and uncountably many second integral homology classes of this group.
Seifert n-Manifolds.
Self-homeomorphisms of the 2-sphere which fix pointwise a nonseparating continuum
We prove that the space of orientation preserving homeomorphisms of the 2-sphere which fix pointwise a nontrivial nonseparating continuum is a contractible absolute neighborhood retract homeomorphic to the separable Hilbert space .
Self-intersection of fixed manifolds and relations for the multisignature.
Semi-Free Circel Actions on Spheres.
Semifree Topological Actions of Finite Groups on Spheres.
Semi-free Zp-Actions on Highly-Connected Manifolds.
Separatrices for non solvable dynamics on
We define the separatrices for pseudogroups of diffeomorphisms of open neighbourhoods of the origin in the complex plane and prove their existence for non solvable pseudogroups (Theorem 1). This extends a result by Shcherbakov (in [21]) accurately. Our method also applies to prove the topological rigidity theorem for generic pseudogroups attributed to Shcherbakov (dans [20]).
Set-set topologies and semitopological groups.
Shadow lemma on the product of Hadamard manifolds and applications
In this paper we analyze the limit set of nonelementary subgroups acting by isometries on the product of two pinched Hadamard manifolds. Following M. Burger’s and P. Albuquerque’s works, we study the properties of Patterson-Sullivan’s measures on the limit sets of graph groups associated to convex cocompact groups.
Shape operators of orbits of isotropy subgroups in Riemannian symmetric spaces of the compact type.
Slices étales
Slices for Proper Actions of non-Compact lie groups
Smith equivalence and finite Oliver groups with Laitinen number 0 or 1.
Smith theory and quasi-periodicity in Bredon cohomology