On fuzzy subbundles of vector bundles.
On generalized homology of Artin groups.
On graded algebra bundles.
On graded bundles and their geometry
On group homomorphisms including mod-p cohomology isomorphisms.
On higher order point singularities of some geometric object fields
On homotopically regular mappings of manifolds
On H-spaces over a base space.
On infinite induced crossed modules and the homotopy 2-type of mapping cones.
On inverse limits of (2k+m+1)-disk bundle maps
On isomorphisms between fibrations over associated with a action
On Lusternik-Schnirelmann category of SO(10)
Let G be a compact connected Lie group and p: E → ΣA be a principal G-bundle with a characteristic map α: A → G, where A = ΣA₀ for some A₀. Let with F₀ = ∗, F₁ = ΣK₁ and Fₘ ≃ G be a cone-decomposition of G of length m and F’₁ = ΣK’₁ ⊂ F₁ with K’₁ ⊂ K₁ which satisfy up to homotopy for all i. Then cat(E) ≤ m + 1, under suitable conditions, which is used to determine cat(SO(10)). A similar result was obtained by Kono and the first author (2007) to determine cat(Spin(9)), but that result could not...
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 Poincaré 3-Complexes with Binary Polyhedral Fundamental Group.
On polynomial coverings and their classification.
On properties of approximate fibrations. I.
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.