Circle actions on 4-manifolds I.
Circle Actions on Homotopy Spheres Bounding Generalized Plumbing Manifoids.
Classes caractéristiques réelles de certains G-fibrés vectorials et résidus.
This work is a contribution to study residues of real characteristic classes of vector bundles on which act compact Lie groups. By using the Cech-De Rham complex, the realisation of the usual Thom isomorphism permites us to illustrate localisation techniques of some topological invariants.
Classification of CR invariant structures for compact Lie groups. (Classification des structures CR invariantes pour les groupes de Lie compacts.)
Cohomologies de certaines formes sphériques
Cohomology eigenvalues of equivariant mappings.
Compact differentiable transformation groups on exotic spheres.
Compact Lie Group Actions with Isotropy Subgroups of Maximal Rank.
Continuous mappings with an infinite number of topologically critical points
We prove that the topological φ-category of a pair (M,N) of topological manifolds is infinite if the algebraic φ-category of the pair of fundamental groups (π₁(M),π₁(N)) is infinite. Some immediate consequences of this fact are also pointed out.
Cyclic homology and equivariant theories
In this article, we present two possible extensions of the classical theory of equivariant cohomology. The first, due to P. Baum, R. MacPherson and the author, is called the “delocalized theory". We attempt to present it in very concrete form for a circle action on a smooth manifold. The second is the cyclic homology of the crossed- product algebra of the algebra of smooth functions on a manifold, by the convolution algebra of smooth functions on a Lie group, when such Lie group act on the manifold....