Teorema de Gauss-Bonnet para fíbrados de Seifert.
Tetrahedra on deformed spheres and integral group cohomology.
The ℤ₂-cohomology cup-length of real flag manifolds
Using fiberings, we determine the cup-length and the Lyusternik-Shnirel’man category for some infinite families of real flag manifolds , q ≥ 3. We also give, or describe ways to obtain, interesting estimates for the cup-length of any , q ≥ 3. To present another approach (combining well with the “method of fiberings”), we generalize to the real flag manifolds Stong’s approach used for calculations in the ℤ₂-cohomology algebra of the Grassmann manifolds.
The braid groups of the projective plane.
The Brown-Peterson homology and nilpotence of the infinite special orthogonal group.
The Closed Geodesics of a Special Manifold.
The cohomology of holomorphic self maps of the Riemann sphere.
The computation of Stiefel-Whitney classes
The cohomology ring of a finite group, with coefficients in a finite field, can be computed by a machine, as Carlson has showed. Here “compute” means to find a presentation in terms of generators and relations, and involves only the underlying (graded) ring. We propose a method to determine some of the extra structure: namely, Stiefel-Whitney classes and Steenrod operations. The calculations are explicitly carried out for about one hundred groups (the results can be consulted on the Internet).Next,...
The cyclic homology of the group rings.
The d-invariant of compact nilmanifolds.
The e-invariant and the spectrum of the Lapacian for compact nilmanifolds covered by Heisenberg groups.
The equivariant -homomorphism.
The eta Invariant and ...O of Lens Spaces.
The Euler Characteristic is the Unique Locally Determined Numerical Homotopy Invariant of Finite Complexes.
The Euler-Poincaré-Hopf theorem for flat connections in some transitive Lie algebroids
This paper is a continuation of [19], [21], [22]. We study flat connections with isolated singularities in some transitive Lie algebroids for which either or or are isotropy Lie algebras. Under the assumption that the dimension of the isotropy Lie algebra is equal to , where is the dimension of the base manifold, we assign to any such isolated singularity a real number called an index. For -Lie algebroids, this index cannot be an integer. We prove the index theorem (the Euler-Poincaré-Hopf...
The Fixed Point Index of Fibre-Preserving Maps.
The Fixed Point Transfer of Fibre-Preserving Maps.
The Generalized Cohomology Theories, Brumfiel-Madsen Formula and Topological Construction of BGG-type Operators
The Generalized Smith Indices. I.
The Generalized Smith Indices. II.