The Signature of Quasi-Nilpotent Fiber Bundles
The SO(n)-of-origin.
The space of clouds in Euclidean space.
The space of intervals in a Euclidean space.
The ...-Spectrum for Brown-Peterson Cohomology. Part I
The total Chern class is not a map of multiplicative cohomology theories.
The Transfer and James-Hopf Invariants.
The transfer maps induced in the algebraic K...- and K...-groups by a fibration I.
The Universal Smooth Surgery Class.
The vanishing of Steenrod squares on H-spaces.
The Weil algebra and the Van Est isomorphism
This paper belongs to a series of papers devoted to the study of the cohomology of classifying spaces. Generalizing the Weil algebra of a Lie algebra and Kalkman’s BRST model, here we introduce the Weil algebra associated to any Lie algebroid . We then show that this Weil algebra is related to the Bott-Shulman complex (computing the cohomology of the classifying space) via a Van Est map and we prove a Van Est isomorphism theorem. As application, we generalize and find a simpler more conceptual...
The Whitehead transfer homomorphism for oriented S...-bundles.
The Z*-theorem for compact Lie groups.
Théorie de jauge et symétries des fibrés
Soit un -fibré principal différentiable sur une variété ( un groupe de Lie compact). Étant donné une action d’un groupe de Lie compact sur , on se pose la question de savoir si elle provient d’une action sur le fibré . L’originalité de ce travail est de relier ce problème à l’existence de points fixes pour les actions de que l’on induit naturellement sur divers espaces de modules de -connexions sur .
Toda Brackets in Differential Topology
Topological Order Complexes and Resolutions of Discriminant Sets
Topological order complexes and resolutions of discriminant sets.
Topological realization of a family of pseudoreflection groups
We are interested in a topological realization of a family of pseudoreflection groups ; i.e. we are looking for topological spaces whose mod-p cohomology is isomorphic to the ring of invariants . Spaces of this type give partial answers to a problem of Steenrod, namely which polynomial algebras over can appear as the mod-p cohomology of a space. The family under consideration is given by pseudoreflection groups which are subgroups of the wreath product where q divides p - 1 and where p is...
Toroidal Lie group actions on compact Riemannian manifolds and their relations to the fibering problem.
Torus actions, equivariant moment-angle complexes, and coordinate-subspace arrangements.