Continous Wavelet Transforms with Applications to Analyzing Functions on Spheres.
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.
Continuous Measures on Homogenous Spaces
In this paper we generalize Wiener’s characterization of continuous measures to compact homogenous manifolds. In particular, we give necessary and sufficient conditions on probability measures on compact semisimple Lie groups and nilmanifolds to be continuous. The methods use only simple properties of heat kernels.
Convergence Structures on Homeomorphism Groups.
Convex cocompact subgroups of mapping class groups.
Correction for the paper “-bundles and exotic actions”
In [R] explicit representatives for -principal bundles over are constructed, based on these constructions explicit free -actions on the total spaces are described, with quotients exotic -spheres. To describe these actions a classification formula for the bundles is used. This formula is not correct. In Theorem 1 below, we correct the classification formula and in Theorem 2 we exhibit the correct indices of the exotic -spheres that occur as quotients of the free -actions described above.
Coverings of foliations anf associated C*-algebras.
Crooked planes.
Curvature of lift spaces
Cyclic actions on - and -bundles over
Cyclic branched coverings and homology 3-spheres with large group actions
We show that, if the covering involution of a 3-manifold M occurring as the 2-fold branched covering of a knot in the 3-sphere is contained in a finite nonabelian simple group G of diffeomorphisms of M, then M is a homology 3-sphere and G isomorphic to the alternating or dodecahedral group 𝔸₅ ≅ PSL(2,5). An example of such a 3-manifold is the spherical Poincaré sphere. We construct hyperbolic analogues of the Poincaré sphere. We also give examples of hyperbolic ℤ₂-homology 3-spheres with PSL(2,q)-actions,...
Cyclic group actions on odd-dimensional spheres.
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....
Deformation of Homeomorphismus on Stratified Sets
Deformations of Algebras and Cohomology of Fixed Point Sets.
Degeneration of Riemann surfaces and intermediate polarization of the moduli space of flat connections.
Deleting-Inserting Theorem for smooth actions of finite nonsolvable groups on spheres.
Dénombrement des types de K-homotopie. Théorie de la déformation
Depth and equivariant cohomology.
Der Conner-Floyd-Isomorphismus für Abelsche Gruppen.