On quantizing A-bundles over Hamilton G-spaces
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.
On symplectic cobordism of real projective plane.
This note answers a question of V. V. Vershinin concerning the properties of Buchstaber's elements Θ2i+1(2) in the symplectic cobordism ring of the real projective plane. It is motivated by Roush's famous result that the restriction of these elements to the projective line is trivial, and by the relationship with obstructions to multiplication in symplectic cobordism with singularities.
On the Atiyah-Hitchin-Drinfeld-Manin Vanishing Theorem for Cohomology Groups of Instanton Bundles.
On the automorphisms of principal fibre bundles
On the Chern character of glued bundles
On the classification of oriented vector bundles over 5-complexes
On the Classification Problem for H-Spaces of Rank Two.
On the cohomology algebra of a fiber.
On the Configuration Spaces of Grassmannian Manifolds
Let be the -th ordered configuration space of all distinct points in the Grassmannian of -dimensional subspaces of , whose sum is a subspace of dimension . We prove that is (when non empty) a complex submanifold of of dimension and its fundamental group is trivial if , and and equal to the braid group of the sphere
On the connectivity of finite subset spaces
We prove that the space of nonempty subsets of cardinality at most k in a bouquet of m+1-dimensional spheres is (m+k-2)-connected. This, as shown by Tuffley, implies that the space is (m+k-2)-connected for any m-connected cell complex X.
On the De Rham Invariant of a Fibered (4r + l)-Dimensional Orientable Manifold.
On the Detection of Some Elements in the Image of the Double Transfer Using K(2)-Theory.
On the differential geometry of frame bundles of Riemannian manifolds.
On the embedding of coverings into 1-dimensional bundles.
On the existence of 2-fields in 8-dimensional vector bundles over 8-complexes
Necessary and sufficient conditions for the existence of two linearly independent sections in an 8-dimensional spin vector bundle over a CW-complex of the same dimension are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.
On the existence of parallel normal vector fields of surfaces in
On the Farrell cohomology of mapping class groups.
On the fiber-preserving maps
On the form of principal torus-bundles over toruses