On the structure of 5-dimensional Poincaré duality spaces.
On the structure of a Morse form foliation
The foliation of a Morse form on a closed manifold is considered. Its maximal components (cylinders formed by compact leaves) form the foliation graph; the cycle rank of this graph is calculated. The number of minimal and maximal components is estimated in terms of characteristics of and . Conditions for the presence of minimal components and homologically non-trivial compact leaves are given in terms of and . The set of the ranks of all forms defining a given foliation without minimal...
On the Structure of Foliated 3-Manifolds Separated by a Compact Leaf
On the structure of some irrotational vector fields.
On the Swan Subgroup of Certain Periodic Groups.
On the Symplectic Cobordism Ring.
On the topological classification of pseudofree group actions on 4-manifolds. I.
On the topological invariance of the basic cohomology.
On the topological structure of compact 5-manifolds
We classify the genus one compact (PL) 5-manifolds and prove some results about closed 5-manifolds with free fundamental group. In particular, let be a closed connected orientable smooth -manifold with free fundamental group. Then we prove that the number of distinct smooth -manifolds homotopy equivalent to equals the -nd Betti number (mod ) of .
On the topology of double coset manifolds.
On the topology of holomorphic foliations on Hopf manifolds
On the topology of positively curved Bazaikin spaces
We explore some aspects of the topology of the family of 13-dimensional Bazaikin spaces. Using the computation of their homology rings, Pontryagin classes and linking forms, we show that there is only one Bazaikin space that is homotopy equivalent to a homogeneous space, i.e., the Berger space. Moreover, it is easily shown that there are only finitely many Bazaikin spaces in each homeomorphism type and that there are only finitely many positively curved ones for a given cohomology ring. In fact,...
On the torsion groups of the cobordism groups of immersions
On the triangulation of smooth fibre bundles
On the Uniqueness of Some Affinely Flat Infra-nilmanifolds.
On the Volume-Preserving Foliations.
On Thom Polynomials for A4(−) via Schur Functions
2000 Mathematics Subject Classification: 05E05, 14N10, 57R45.We study the structure of the Thom polynomials for A4(−) singularities. We analyze the Schur function expansions of these polynomials. We show that partitions indexing the Schur function expansions of Thom polynomials for A4(−) singularities have at most four parts. We simplify the system of equations that determines these polynomials and give a recursive description of Thom polynomials for A4(−) singularities. We also give Thom polynomials...
On Thom-Whitney Stratification Theory.
On topological degree and Poincaré duality
In this Note we investigate about some relations between Poincaré dual and other topological objects, such as intersection index, topological degree, and Maslov index of Lagrangian submanifolds. A simple proof of the Poincaré-Hopf theorem is recalled. The Lagrangian submanifolds are the geometrical, multi-valued, solutions of physical problems of evolution governed by Hamilton-Jacobi equations: the computation of the algebraic number of the branches is showed to be performed by using Poincaré dual....
On topological invariants of vector bundles
Let E → W be an oriented vector bundle, and let X(E) denote the Euler number of E. The paper shows how to calculate X(E) in terms of equations which describe E and W.