On the Iterated Complex Transfer.
On the kernel of holonomy.
A connection on a principal G-bundle may be identified with a smooth group morphism H : GL∞(M) → G, called a holonomy, where GL∞(M) is a group of equivalence classes of loops on the base M. The present article focuses on the kernel of this morphism, which consists of the classes of loops along which parallel transport is trivial. Use is made of a formula expressing the gauge potential as a suitable derivative of the holonomy, allowing a different proof of a theorem of Lewandowski’s, which states...
On the locally finite chain algebra of a proper homotopy type.
On the loop homology of complex projective spaces
In this short note we compute the Chas-Sullivan BV-algebra structure on the singular homology of the free loop space of complex projective spaces. We compare this result with computations in Hochschild cohomology.
On the Lusternik-Schnirelmann category in the theory of shape
On the maps of one fibre space into another
On the Mislin genus of certain circle bundles and noncancellation.
On the Mod p Torus Theorem of John Hubbuck.
On the object-wise tensor product of functors to modules.
On the plus construction for BGL Z [...] at the prime 2.
On the rational homotopy Lie algebra of spaces with finite dimensional rational cohomology and homotopy
The problem of the characterization of graded Lie algebras which admit a realization as the homotopy Lie algebra of a space of type is discussed. The central results are formulated in terms of varieties of structure constants, several criterions for concrete algebras are also deduced.
On the real cohomology of spaces of free loops on manifolds
Let LX be the space of free loops on a simply connected manifold X. When the real cohomology of X is a tensor product of algebras generated by a single element, we determine the algebra structure of the real cohomology of LX by using the cyclic bar complex of the de Rham complex Ω(X) of X. In consequence, the algebra generators of the real cohomology of LX can be represented by differential forms on LX through Chen’s iterated integral map. Let be the circle group. The -equivariant cohomology...
On the relationships between shape properties of subcompacta of and homotopy properties of their complements
On the Segal conjecture for compact Lie groups.
On the Self-Equivalences of a Space with Non-cyclic Fundamental Group.
On the shape of 0-dimensional paracompacta
On the shape of MAR and MANR-spaces
On the Space of Maps of a Closed Surface into the 2-Sphere.
On the structure of 5-dimensional Poincaré duality spaces.
On the surjectivity of shape fibrations