Splitting of Gysin extensions.
Stabile Foliations of 4-Manifolds by Closed Surfaces. I. Local Structure and Free Actions of Finite Cyclic and Dihedral Groups on Surfaces.
Stability of the homology of the moduli spaces of Riemann surfaces with spin structure.
Stable Rank 2 Vector Bundles with Chern-Classes c1 = -1, c2 = 4.
Stable splittings associated with Chevalley groups, I.
Stable splittings associated with Chevalley groups, II.
Stable Vector Bundles over the Projective Orthogonal Groups.
Stably spherical classes in the K-homology of a finite group.
Stiefel-Whitney characteristic classes and parallelizability of Grassmann manifolds
Stiefel-Whitney classes of the flag manifold
Stratifications of teardrops
Teardrops are generalizations of open mapping cylinders. We prove that the teardrop of a stratified approximate fibration X → Y × ℝ with X and Y homotopically stratified spaces is itself a homotopically stratified space (under mild hypothesis). This is applied to manifold stratified approximate fibrations between manifold stratified spaces in order to establish the realization part of a previously announced tubular neighborhood theory.
Stratified model categories
The fourth axiom of a model category states that given a commutative square of maps, say i: A → B, g: B → Y, f: A → X, and p: X → Y such that gi = pf, if i is a cofibration, p a fibration and either i or p is a weak equivalence, then a lifting (i.e. a map h: B → X such that ph = g and hi = f) exists. We show that for many model categories the two conditions that either i or p above is a weak equivalence can be embedded in an infinite number of conditions which imply the existence of a lifting (roughly,...
Strongly homotopy-commutative monoids revisited.
Structures de contact sur les fibrés principaux en cercles de dimension trois
On construit et classifie à conjugaison équivariante près toutes les formes de contact invariantes sur un fibré principal en cercles ( compact). Si , les formes obtenues induisent sur des formes de contact dans chaque classe d’homotopie de 1-formes sans zéros : on en déduit que admet une infinité de structures de contact non isomorphes.
Suite spectrale d'une fibration
Superconnexions, indice local des familles, déterminant de la cohomologie et métriques de Quillen
Supersymmetries-mathematics of supergeometry
Sur la suite exacte canonique associée à un fibré principal
Sur l'algèbre de Lie des sections d'un fibré en algèbres de Lie
On étudie la structure naturelle d’algèbre de Lie de l’espace des sections de classe d’un fibré localement trivial dont la fibre-type est une algèbre de Lie ; on décrit, en particulier, ses dérivations et ses automorphismes. On détermine les algèbres de Lie pour lesquelles cette structure caractérise la structure différentiable de la base du fibré.
Sur le groupe fondamental d'un feuilletage