Invariants of several matrices.
Invariants, torsion indices and oriented cohomology of complete flags
Let be a split semisimple linear algebraic group over a field and let be a split maximal torus of . Let be an oriented cohomology (algebraic cobordism, connective -theory, Chow groups, Grothendieck’s , etc.) with formal group law . We construct a ring from and the characters of , that we call a formal group ring, and we define a characteristic ring morphism from this formal group ring to where is the variety of Borel subgroups of . Our main result says that when the torsion index...
Isotropy of quadratic spaces in finite and infinite dimension.
Iterating the Pimsner construction.
Jacobienne locale d'une courbe formelle relative
K (2)- homology of some infinite loop spaces.
of Fermat curves with divisorial support at infinity
- and -theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by .
-equivalence and continuous bundles of -algebras.
-theory as the -theory of -categories.
-théorie algébrique négative et -théorie topologique de l’algèbre de Fréchet des opérateurs régularisants
-theory and stable algebra
-theory and Toeplitz -algebras a survey
-theory of affine toric varieties.
-theory of log-schemes. I.
-theory of oriented Grassmann manifolds
-theory of virtually poly-surface groups.
-theory of weight varieties.
Karoubi’s relative Chern character and Beilinson’s regulator
We construct a variant of Karoubi’s relative Chern character for smooth varieties over and prove a comparison result with Beilinson’s regulator with values in Deligne-Beilinson cohomology. As a corollary we obtain a new proof of Burgos’ Theorem that for number fields Borel’s regulator is twice Beilinson’s regulator.
Kato homology of arithmetic schemes and higher class field theory over local fields.