A volume-preserving counterexample to the Seifert conjecture.
A weak regularity theorem for real analytic optimal control problems.
We consider real analytic finite-dimensional control problems with a scalar input that enters linearly in the evolution equations. We prove that, whenever it is possible to steer a state x to another state y by means of a measurable control, then it is possible to steer x to y by means of a control that has an extra regularity property, namely, that of being analytic on an open dense subset of its interval of definition. Since open dense sets can have very small measure, this is a very weak property....
A WU formula for Euler mod 2 spaces
Abel's Theorem and Webs.
About Stefan's definition of a foliation with singularities : a reduction of the axioms
Actions de groupes sur les -variétés non séparées et feuilletages de codimension un
Actions localement libres du groupe affine.
Adams spectral sequence and higher torsion in MSp*.
In this paper we study higher torsion in the symplectic cobordism ring. We use Toda brackets and manifolds with singularities to construct elements of higher torsion and use the Adams spectral sequence to determine an upper bound for the order of these elements.
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.