-valued differential forms on
-formes fermées non singulières sur les variétés compactes de dimension 3
1-formes fermées singulières et groupe fondamental.
A new infinite order formulation of variational sequences
The theory of variational bicomplexes is a natural geometrical setting for the calculus of variations on a fibred manifold. It is a well–established theory although not spread out very much among theoretical and mathematical physicists. Here, we present a new approach to infinite order variational bicomplexes based upon the finite order approach due to Krupka. In this approach the information related to the order of jets is lost, but we have a considerable simplification both in the exposition...
A short proof of the Hölder-Poincaré duality for -cohomology
A survey of the spectral and differential geometric aspects of the generalized de Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems. I.
A survey of the spectral and differential geometric aspects of the generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems. II.
Affin manifolds with nilpotent holonomy.
An extension of Miller's version of the de Rham Theorem with any coefficients
In this paper we present an approximation to the de Rham theorem for simplicial sets with any coefficients based, using simplicial techniques, on Poincaré's lemma and q-extendability.
An isomorphism form intersection homology to Lp-cohomology.
Cohomologie basique et dualité des feuilletages riemanniens
Nous démontrons des théorèmes de dualité de Poincaré et de de Rham pour la cohomologie basique et l’homologie des courants transverses invariants d’un feuilletage riemannien.
Cohomology of the Lagrange complex
Cohomology Theories In Synthetic Differential Geometry.
Combinatorial Hodge Theory and Signature Operator.
Configuration spaces and Vassiliev classes in any dimension.
De Rham cohomology and homotopy Frobenius manifolds
We endow the de Rham cohomology of any Poisson or Jacobi manifold with a natural homotopy Frobenius manifold structure. This result relies on a minimal model theorem for multicomplexes and a new kind of a Hodge degeneration condition.
De Rham-Hodge-Kodaira decomposition in ...-dimensions.
Échelles et faisceaux sur les quotients de feuilletages
Erratum
Extension of cross-sections and a generalized de Rham theorem.