Obstructions for Clifford Structures on Vector Bundles.
Obstructions to Embedding and Isotopy in the Metastable Range.
Obstructions to the existence of monotone Lagrangian embeddings into cotangent bundles of manifolds fibered over the circle
We extend the constructions and results of Damian to get topological obstructions to the existence of closed monotone Lagrangian embeddings into the cotangent bundle of a space which is the total space of a fibration over the circle.
Om multiple points of smooth immersions.
On 2-cycles of which are represented by foliated -bundles over
We give several sufficients conditions for a 2-cycle of Diff (resp. Diff) represented by a foliated -(resp. -) bundle over a 2-torus to be homologous to zero. Such a 2-cycle is determined by two commuting diffeomorphisms , of (resp. ). If , have fixed points, we construct decompositions: , , where the interiors of Supp Supp are disjoint, and and belong either to ( Diff) or to a one-parameter subgroup generated by a -vectorfield . Under some conditions on the norms...
On 2-distributions in 8-dimensional vector bundles over 8-complexes
It is shown that the -index of a 2-distribution in an 8-dimensional spin vector bundle over an 8-complex is independent of the 2-distribution. Necessary and sufficient conditions for the existence of 2-distributions in such vector bundles are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.
On 3-dimensional Lie algebras of vector fields
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 4-manifolds with free fundamental group.
On a class of diffeomorphisms defined by integro-differential operators
We study an integro-differential operator Φ: H̅¹ → L² of Fredholm type and give sufficient conditions for Φ to be a diffeomorphism. An application to functional equations is presented.
On a class of foliations and the evaluation of their characteristic classes.
On a conjecture of Carathéodory: Analyticity versus smoothness.
On a connection with torsion zero
On a Linearization Theorem of Sternberg for Germs of Diffeomorphisms.
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 a Theorem of Barden.
On adelic Chern forms and the Bott residue formula
On algebraic sets invariant by one-dimensional foliations on
We consider the problem of extending the result of J.-P. Jouanolou on the density of singular holomorphic foliations on without algebraic solutions to the case of foliations by curves on . We give an example of a foliation on with no invariant algebraic set (curve or surface) and prove that a dense set of foliations admits no invariant algebraic set.
On Ample and spanned Rank-3 Bundles with Low Chern numbers.