Line Bundles over Framed Manifolds.
Localization in equivariant bordisms.
Locally finite approximation of Lie groups, I.
Loop space homology of spaces of LS category one and two.
Maps between Classifying Spaces.
Minimal Models in Homotopy Theory.
Mod 2 exterior H-spaces.
Module derivations and cohomological splitting of adjoint bundles
Let G be a finite loop space such that the mod p cohomology of the classifying space BG is a polynomial algebra. We consider when the adjoint bundle associated with a G-bundle over M splits on mod p cohomology as an algebra. In the case p = 2, an obstruction for the adjoint bundle to admit such a splitting is found in the Hochschild homology concerning the mod 2 cohomologies of BG and M via a module derivation. Moreover the derivation tells us that the splitting is not compatible with the Steenrod...
Monomial bases in the mod- Steenrod algebra
In this paper we study sets of some special monomials which form bases for the mod- Steenrod algebra .
Morava K-theory of Double Loop Spaces of Spheres.
n-Cohomology of simple highest weight modules on walls and purity.
Nilpotent complex structures.
Este artículo presenta un panorama de algunos resultados recientes sobre estructuras complejas nilpotentes J definidas sobre nilvariedades compactas. Tratamos el problema de clasificación de nilvariedades compactas que admiten una tal J, el estudio de un modelo minimal de Dolbeault y su formalidad, y la construcción de estructuras complejas nilpotentes para las cuales la sucesión espectral de Frölicher no colapsa en el segundo término.
Noetherian loop spaces
The class of loop spaces of which the mod cohomology is Noetherian is much larger than the class of -compact groups (for which the mod cohomology is required to be finite). It contains Eilenberg–Mac Lane spaces such as and 3-connected covers of compact Lie groups. We study the cohomology of the classifying space of such an object and prove it is as small as expected, that is, comparable to that of . We also show that X differs basically from the classifying space of a -compact group...
Non completely solvable systems of complex first order PDEs
Non-abelian cohomology via parity quasi-complexes.
Non-abelian extensions of infinite-dimensional Lie groups
In this article we study non-abelian extensions of a Lie group modeled on a locally convex space by a Lie group . The equivalence classes of such extension are grouped into those corresponding to a class of so-called smooth outer actions of on . If is given, we show that the corresponding set of extension classes is a principal homogeneous space of the locally smooth cohomology group . To each a locally smooth obstruction class in a suitably defined cohomology group is defined....
Non-degenerescence of some spectral sequences
Each Lie algebra of vector fields (e.g. those which are tangent to a foliation) of a smooth manifold définies, in a natural way, a spectral sequence which converges to the de Rham cohomology of in a finite number of steps. We prove e.g. that for all there exists a foliated compact manifold with infinite dimensional.
Non-vanishing on the first cohomology
Nonzero degree tangential maps between dual symmetric spaces.
On 3-manifold invariants arising from finite-dimensional Hopf algebras.