Sur les classes caractéristiques des feuilletages
Sur les espaces de modules des fibrés vectoriels de rang deux sur des hypersurfaces de P3.
Sur l'existence des fibrés vectoriels holomorphes sur les surfaces non-algébriques.
Sur l'irréducibilité du module des fibrés stables sur IP2.
Symmetric functions and the Chern characters of a hypersurface with singularities
Symmetric Polynomials Constructed From Moduli of Stable Sheaves with odd c1 on ruled surfaces.
Symmetrien von Mannigfaltigkeiten und rationale Homotopietheorie.
Sympletic Curvature Tensors.
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 angle defect for arbitrary polyhedra.
The Bloch invariant as a characteristic class in .
The Canonical Class and the Properties of Kähler Surfaces.
The Chern Classes of the Stable Rank 3 Vector Bundles on IP3.
The Chern numbers of holomorphic vector bundles and formally holomorphic connections of complex vector bundles over almost complex manifolds.
The cohomology ring of the Hilbert scheme of 3 points on a smooth projective variety.
The combinatorial formula of Gabrielov, Gelfand and Losik for the first Pontrjagin class
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 eta Invariant and ...O of Lens Spaces.
The Euler Characteristic is the Unique Locally Determined Numerical Homotopy Invariant of Finite Complexes.
The Euler characteristic of algebraic complete intersections.