Cycles de Schubert et cohomologie equivariante de K/T.
Cyclic homology, a survey
Cyclic homology and de Rham cohomology.
Cyclic homology and equivariant homology.
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....
Cyclic homology of groups and the Bass conjecture.
Dans le fibré de l'espace des lacets libres, la fibre n'est pas, en général, totalement non cohomologue a zéro.
Das Bild des Hurewicz-Homomorphismus h: ...s*(BZp) ->K1(BZp).
Das K (..., 1)-Problem für die affinen Wurzelsysteme vom Typ An, Cn.
Decomposability of evaluation fibrations and the brace product operation of James
Decomposing four-manifolds up to homotopy type.
Décomposition de Hodge basique pour un feuilletage riemannien
Soit un feuilletage de codimension sur une variété compacte . On montre que le complexe des formes basiques admet une décomposition de Hodge. Il en résulte que la cohomologie basique de est de dimension finie et vérifie la dualité de Poincaré si et seulemnt si .
Decomposition numbers for perverse sheaves
The purpose of this article is to set foundations for decomposition numbers of perverse sheaves, to give some methods to calculate them in simple cases, and to compute them concretely in two situations: for a simple (Kleinian) surface singularity, and for the closure of the minimal non-trivial nilpotent orbit in a simple Lie algebra.This work has applications to modular representation theory, for Weyl groups using the nilpotent cone of the corresponding semisimple Lie algebra, and for reductive...
Decomposition spaces and shape in the sense of Fox
Decompositions into submanifolds of fixed codimension
Definable orthogonality classes in accessible categories are small
We lower substantially the strength of the assumptions needed for the validity of certain results in category theory and homotopy theory which were known to follow from Vopěnka’s principle. We prove that the necessary large-cardinal hypotheses depend on the complexity of the formulas defining the given classes, in the sense of the Lévy hierarchy. For example, the statement that, for a class of morphisms in a locally presentable category of structures, the orthogonal class of objects is a small-orthogonality...
Deformations of Algebras and Cohomology of Fixed Point Sets.
Deformations of Holomorphic Seifert Fiber Spaces.
Degré topologique pour les fonctions convexes.
El objeto de esta nota es presentar una noción del grado topológico para funciones reales convexas sci (semicontinuas inferiormente) basándose en la teoría del grado introducida por F. Browder.
Degree of T-equivariant maps in ℝⁿ
A special case of G-equivariant degree is defined, where G = ℤ₂, and the action is determined by an involution given by T(u,v) = (u,-v). The presented construction is self-contained. It is also shown that two T-equivariant gradient maps are T-homotopic iff they are gradient T-homotopic. This is an equivariant generalization of the result due to Parusiński.