Geometric methods for cohomological invariants.
Geometric Modules over the Burnside Ring.
Germs of quasi-continuous functions
G-Invariante Morse-Funktionen.
Graded Brauer groups and -theory with local coefficients
Graph Cohomology, Colored Posets and Homological Algebra in Functor Categories
The homology theory of colored posets, defined by B. Everitt and P. Turner, is generalized. Two graph categories are defined and Khovanov type graph cohomology are interpreted as Ext* groups in functor categories associated to these categories. The connection, described by J. H. Przytycki, between the Hochschild homology of an algebra and the graph cohomology, defined for the same algebra and a cyclic graph, is explained from the point of view of homological algebra in functor categories.
Group Extensions and Principal Fibrations.
Harmonic cohomology classes of symplectic manifolds.
h-cobordisms between 1-connected 4-manifolds.
Hecke structure on Bredon cohomology
We construct a Hecke structure on equivariant Bredon cohomology with local coefficients and then describe some of its properties. We compare this structure with the Mackey structure defined by T. tom Dieck and with the Illman transfer.
Hochschild and cyclic homology of -algebras.
Hodge-Bott-Chern decompositions of mixed type forms on foliated Kähler manifolds
The Bott-Chern cohomology groups and the Bott-Chern Laplacian on differential forms of mixed type on a compact foliated Kähler manifold are defined and studied. Also, a Hodge decomposition theorem of Bott-Chern type for differential forms of mixed type is proved. Finally, the case of projectivized tangent bundle of a complex Finsler manifold is discussed.
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....
Homogeneous tolerance spaces
Homological category weights and estimates for
Homological properties of non-deterministic branchings of mergings in higher dimensional automata.
Homologie cyclique, principe de Selberg et pseudo-coefficient.
Homologie cyclique : rapport sur des travaux récents de Connes, Karoubi, Loday, Quillen...
Homologie de Shih d'une submersion (homologies non singulières des variétés feuilletées)
Homologie de Steenrod-Sitnikov et limite homotopique algebrique.