The level of real projective spaces.
The Lie affine foliations on 4-manifolds.
The local contractibility of the homeomorphism space of a 2-polyhedron
The ?-orbifold Group of a Link.
The Picard group of the Burnside ring.
The regular open-open topology for function spaces.
The Ricci tensor of an almost homogeneous Kähler manifold.
The S1-CW decomposition of the geometric realization of a cyclic set
We show that the geometric realization of a cyclic set has a natural, -equivariant, cellular decomposition. As an application, we give another proof of a well-known isomorphism between cyclic homology of a cyclic space and -equivariant Borel homology of its geometric realization.
The simplicity of certain groups of homeomorphisms
The smallest arithmetic hyperbolic three-orbi-fold.
The Smith Conjecture in dimension four and equivariant gauge theory.
The Spectrum of Equivariant K-theory.
The topological rationality of linear representations
The topological spherical space form problem I
The Topological Version of Groups Generated by Reflections.
The Topological-Euclidean Space Form Problem.
The Variation of Isotropy Subalgebras for Analytic Transformation Goups.
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 .
Topological classification of multiaxial -actions (with an appendix by Jared Bass)
This paper begins the classification of topological actions on manifolds by compact, connected, Lie groups beyond the circle group. It treats multiaxial topological actions of unitary and symplectic groups without the dimension restrictions used in earlier works by M. Davis and W. C. Hsiang on differentiable actions. The general results are applied to give detailed calculations for topological actions homotopically modeled on standard multiaxial representation spheres. In the present topological...
Topological conjugacy of locally free actions on -manifolds
For actions as in the title we associate a collection of rotation numbers. If one of them is sufficiently irrational then the action is conjugate (as an action) to either a linear action on a torus or to an action on a principal bundle over with orbits.