Om multiple points of smooth immersions.
On 3-Manifolds with Finite Solvable Fundamental Groups.
On 4-fields and 4-distributions in 8-dimensional vector bundles over 8-complexes
Let ξ be an oriented 8-dimensional spin vector bundle over an 8-complex. In this paper we give necessary and sufficient conditions for ξ to have 4 linearly independent sections or to be a sum of two 4-dimensional spin vector bundles, in terms of characteristic classes and higher order cohomology operations. On closed connected spin smooth 8-manifolds these operations can be computed.
On a class of foliations and the evaluation of their characteristic classes.
On a secondary invariant of the hyperelliptic mapping class group
We discuss relations among several invariants of 3-manifolds including Meyer's function, the η-invariant, the von Neumann ρ-invariant and the Casson invariant from the viewpoint of the mapping class group of a surface.
On adelic Chern forms and the Bott residue formula
On Ample and spanned Rank-3 Bundles with Low Chern numbers.
On complex structures in 8-dimensional vector bundles.
On complex vector bundles on projective threefolds.
On Gauss-Bonnet curvatures.
On graded bundles and their geometry
On Homotopy Invariance of Higher Signatures.
On immersions in bordism classes.
On Killing Characteristic Classes by Cobordism.
On Manifolds Representing Homology Classes in Codimension 2.
On oriented vector bundles over CW-complexes of dimension 6 and 7
Necessary and sufficient conditions for the existence of -dimensional oriented vector bundles () over CW-complexes of dimension with prescribed Stiefel-Whitney classes , and Pontrjagin class are found. As a consequence some results on the span of 6 and 7-dimensional oriented vector bundles are given in terms of characteristic classes.
On polynomial coverings and their classification.
On Projective Varieties of Codimension 2.
On representation theory and the cohomology rings of irreducible compact hyperkähler manifolds of complex dimension four
In this paper, we continue the study of the possible cohomology rings of compact complex four dimensional irreducible hyperkähler manifolds. In particular, we prove that in the case b 2=7, b 3=0 or 8. The latter was achieved by the Beauville construction.
On residue formulas for characteristic numbers
We show that coefficients of residue formulas for characteristic numbers associated to a smooth toral action on a manifold can be taken in a quotient field This yields canonical identities over the integers and, reducing modulo two, residue formulas for Stiefel Whitney numbers.