A Decomposability Criterion for Algebraic 2-Bundles on Projective Spaces.
A Definition of Exotic Characteristic Classes of Spherical Fibrations
A remark on the Chern class of a tensor product.
A Remark on Universal Connections.
A splitting principle for group representations.
A universal space for normal bundles of n-manifolds.
Algebraic characteristic classes for idempotent matrices.
This paper contains the algebraic analog for idempotent matrices of the Chern-Weil theory of characteristic classes. This is used to show, algebraically, that the canonical line bundle on the complex projective space is not stably trivial. Also a theorem is proved saying that for any smooth manifold there is a canonical epimorphism from the even dimensional algebraic de Rham cohomology of its algebra of smooth functions onto the standard even dimensional de Rham cohomology of the manifold.
Algebroid nature of the characteristic classes of flat bundles
The following two homotopic notions are important in many domains of differential geometry: - homotopic homomorphisms between principal bundles (and between other objects), - homotopic subbundles. They play a role, for example, in many fundamental problems of characteristic classes. It turns out that both these notions can be - in a natural way - expressed in the language of Lie algebroids. Moreover, the characteristic homomorphisms of principal bundles (the Chern-Weil homomorphism [K4], or the...
Caractérisation des opérations d'algèbres sur les modules différentiels
Characteristic classes of augmented bundles.
Characters and K-theory of discrete groups.
Characters and K-theory of discrete groups (Erratum).
Chern classes of group representations over a number field
Chern classes of vector bundles with singular connections
Si fa vedere che alcune classi di Chern di fibrati vettoriali complessi possono essere costruite non solo partendo da connessioni ma, sotto certe condizioni, anche da connessioni lineari singolari. Nel caso particolare del fibrato tangente possono essere costruite anche a partire da metriche singolari. Viene fatto uso in modo essenziale della -coomologia di de Rham (introdotta da Cheeger e Teleman).
Chern-Klassen von ganzzahligen und rationalen Darstellungen dsikreter Gruppen.
Classes caracteristiques de ... (G, H)-Structures et Finitude de leur evaluation.
Classes caractéristiques des fibrés vectoriels
Classes caractéristiques et fondamentales en cobordismes et K-théories
Classes caractéristiques exotiques et -connexité des espaces de connexions
Le but de ce travail est double : d’une part, généraliser la construction des classes exotiques pour l’appliquer à d’autres problèmes géométriques que ceux issus des -structures ; d’autre part, préciser, grâce à la notion de -connexité, remplaçant avantageusement les formules de dérivation utilisées précédemment, l’argument d’invariance homotopique permettant d’obtenir des théorèmes de rigidité, montrant simultanément pourquoi la seule connexité des ensembles de connexions considérés ne suffit...
Classes caractéristiques isotropes.