Einschränkung stabiler Vektorraumbündel vom Rang 3 Hyperebenen des projectiven Raumes.
Elliptic genera, modular forms over KO*, and the Brown-Kervaire invariant.
Elliptic operators and higher signatures
Building on the theory of elliptic operators, we give a unified treatment of the following topics: - the problem of homotopy invariance of Novikov’s higher signatures on closed manifolds, - the problem of cut-and-paste invariance of Novikov’s higher signatures on closed manifolds, - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance.
Enumerative geometry of degeneracy loci
Equivariant KK-theory and the Novikov conjecture.
Equivariant short exact sequences of vector bundles and their analytic torsion forms
Errata : Exotic characteristic classes and subfoliations
Erratum : “On the geometry of subbundles and Lagrange foliations”
Euler Characteristic and the Class of Unit in K-theory.
Euler characteristics of 2-manifolds and light open maps
Existence de faisceaux réflexifs de rang deux sur à bonne cohomologie
Existence of Rank 3 Vector Bundles with Given Chern Classes on Homogeneous Rational 3-Folds.
Exotic characteristic classes and subfoliations
A topological obstruction for a foliation be a sub-foliation of another is given by comparing the images of the associated characteristic homomorphisms (in the sense of Lehmann).
Exotic Characteristic Classes for Holomorphic Foliations.
Families of jacobian manifolds and characteristic classes of surface bundles. I
In our previous work we have defined the notion of characteristic classes of surface bundles, which are differentiable fibre bundles whose fibres are closed oriented surfaces. In this paper we derive new relations between these characteristic classes by considering a canonical embedding of a given surface bundle with cross section to its associated family of Jacobian manifolds. As a key technical step we determine the first cohomology group of the mapping class group of oriented surfaces with coefficients...
Fano manifolds of degree ten and EPW sextics
O’Grady showed that certain special sextics in called EPW sextics admit smooth double covers with a holomorphic symplectic structure. We propose another perspective on these symplectic manifolds, by showing that they can be constructed from the Hilbert schemes of conics on Fano fourfolds of degree ten. As applications, we construct families of Lagrangian surfaces in these symplectic fourfolds, and related integrable systems whose fibers are intermediate Jacobians.
Fibre integration and some of its applications.
Fibrés exceptionnels et suite spectrale de Beilinson généralisée sur IP2 (C).
Fibrés stables de rang 2 sur JP2(C).
Fibrés uniformes de type (0, . . . , 0, - 1, . . ., -1) sur P2.