Fibrés vectoriels topologiques de rang élevé sur une hypersurface
Fields of 2-planes and two kinds of almost complex structures on compact 4-dimensional manifolds.
Flat Bundles and Residues for Foliations.
Flat manifolds with non-zero Euler characteristics.
Formes de torsion analytique et familles des submersions I
Genera of Ramified Coverings.
Generalized Dehn-Sommerville equations and an upper bound theorem
Generischer Spaltungstyp und zweite Chernklasse stabiler Vektorraumbündel vom Rang 4 auf IP4.
Geometry of twisting cochains
Geometry on grassmannians and applications to splitting bundles and smoothing cycles
Gröbner bases and the immersion of real flag manifolds in Euclidean space
Group actions on quasi-symplectic manifolds.
Group Cohomology with Lipschitz Control and Higher Signatures.
Groupe de Picard des variétés de modules de faisceaux semi-stables sur
Le sujet de cet article est le groupe de Picard de la variété de modules des faisceaux algébriques semi-stables de rang et de classes de Chern sur . Le premier résultat est que est localement factorielle, ce qui permet d’identifier Pic et le groupe des classes d’équivalence linéaire des diviseurs de Weil de . Il existe une unique application telle que dim si et seulement si . Si on a égalité, Pic est isomorphe à , et si l’inégalité est stricte, Pic est isomorphe à . On donne ensuite...
Holomorphe Vektorbündel auf Pn mit c1 = 0 und c2 = 1.
Holomorphic 2-vector bundles on nonalgebraic 2-tori.
Holonomy, twisting cochains and characteristic classes
This paper contains a description of various geometric constructions associated with fibre bundles, given in terms of important algebraic object, the “twisting cochain". Our examples include the Chern-Weil classes, the holonomy representation and the so-called cyclic Chern character of Bismut and others (see [2, 11, 27]), also called the Bismut’s class. The later example is the principal one for us, since we are motivated by the attempt to find an algebraic approach to the Witten’s index formula....
Homotopy invariance of higher signatures and -manifold groups
For closed oriented manifolds, we establish oriented homotopy invariance of higher signatures that come from the fundamental group of a large class of orientable -manifolds, including the “piecewise geometric” ones in the sense of Thurston. In particular, this class, that will be carefully described, is the class of all orientable -manifolds if the Thurston Geometrization Conjecture is true. In fact, for this type of groups, we show that the Baum-Connes Conjecture With Coefficients holds. The...
Horizontal forms of Chern type on complex Finsler bundles.
Imbeddings, immersions and integrability of characteristic classes,