The 4-rank of the tame kernel versus the 4-rank of the narrow class group in quadratic number fields
The additivity theorem in algebraic -theory.
The boundary of the Eisenstein symbol.
The boundary of the Eisenstein symbol (Erratum).
The Brauer and Brauer-Taylor groups of a symmetric monoidal category
The connection between the -theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
The cyclotomic trace and algebraic K-theory of spaces.
The Hatcher-Waldhausen map is a spectrum map.
The Hochschild cohomology of a closed manifold
Let M be a closed orientable manifold of dimension dand be the usual cochain algebra on M with coefficients in a fieldk. The Hochschild cohomology of M, is a graded commutative and associative algebra. The augmentation map induces a morphism of algebras . In this paper we produce a chain model for the morphism I. We show that the kernel of I is a nilpotent ideal and that the image of I is contained in the center of , which is in general quite small. The algebra is expected to be isomorphic...
The homology of special linear groups over polynomial rings
The indecomposable of fields
The relative dihedral homology of involutive algebras.
The smooth Whitehead spectrum of a point at odd regular primes.
Topological -theory of the integers at the prime 2.
Travaux de Karoubi sur la K-théorie
Triplets spectraux pour les variétés à singularité conique isolée
Sur une pseudo-variété de dimension paire à une singularité conique isolée, des triplets spectraux sont construits à partir d’une classe d’opérateurs différentiels elliptiques de type Fuchs, contenant les opérateurs de Dirac à coefficients dans des fibrés plats dans la direction radiale. Ces derniers engendrent, sous une hypothèse raisonnable, le groupe de -homologie pair tensorisé par de la pseudo-variété et leur caractère de Chern est calculé.