Addendum à «Publier sous l’occupation I», Revue d’Histoire des Mathématiques, 15 (2009), 5–57
Addendum to: A Bound for the Fixed-Point Index of an Area-Preserving Map with Applications to Mechanics.
Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds
As an application, we compute the Eells–Kuiper and t-invariants of certain cohomogeneity one manifolds that were studied by Dearricott, Grove, Verdiani, Wilking, and Ziller. In particular, we determine the diffeomorphism type of a new manifold of positive sectional curvature.
Affin manifolds with nilpotent holonomy.
Algebra cochains and cyclic cohomology
Algebraic approximation of manifolds and spaces
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.
Algebraic Connections and Curvature in Fibrations Bundles of Associative Algebras
In this article fibrations of associative algebras on smooth manifolds are investigated. Sections of these fibrations are spinor, co spinor and vector fields with respect to a gauge group. Invariant differentiations are constructed and curvature and torsion of invariant differentiations are calculated.
Algebraic cycles and vector bundles on real affine threefolds.
Algebraic models of Poincaré embeddings.
Algebraic properties of decorated splitting obstruction groups
In questo articolo si riassumono le definizioni e le principali proprietà dei gruppi di ostruzione con decorazione di tipo LS e LP. Si stabiliscono nuove relazioni fra questi gruppi e si descrivono le proprietà delle mappe naturali fra differenti gruppi con decorazione. Si costruiscono varie successioni spettrali, contenenti questi gruppi con decorazione, e si studiano la loro connessione con le successioni spettrali in -teoria per certe estensioni quadratiche di antistrutture. Infine, si introduce...
Algebraic realization of equivariant vector bundles.
Algebraic tubular neighbourhoods II.
Algebras of functions on groupoid of some special foliations.
Algebras Q (f) Determine the Topological Types of Generic Map-Germs.
Algèbres commutatives de champs de vecteurs isochores
Algèbres de Lie attachées à un feuilletage
Algèbres de Maurer-Cartan et Holonomie
Algébricité de l'espace de feulletages d'un espace analytique compact.
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...