Flat bundles and holonomy homomorphisms.
Framing Sphere Bundles over Spheres, the Smith Pairing, and Three-Fold Toda Brackets.
Fundamental vector fields on associated fiber bundles
Gauge independent formulation of dynamics of charged extended objects
Generalized group algebras and their bundles.
Geometrically Defined Transfers, Comparisons.
Gruppi di gauge e spazi classificanti
Homotopy 2-regular mappings whose inverses are open 3-cells
Homotopy Classification of Equivariant Regular Sections.
Homotopy Decompostitions of Equivariant Function Spaces.
Homotopy negligible subsets of bundles
Homotopy theory of Hopf Galois extensions
We introduce the concept of homotopy equivalence for Hopf Galois extensions and make a systematic study of it. As an application we determine all -Galois extensions up to homotopy equivalence in the case when is a Drinfeld-Jimbo quantum group.
Instantons on Hopf surfaces and monopoles on solid tori.
Introduction aux problèmes analytiques posés par le système des équations de Yang-Mills
Killing vectors and geodesic flow vectors on tangent bundles.
Leafwise, transversal and mixed 2-jets of bundles over foliated manifolds.
Line Bundles over Framed Manifolds.
Locally variational invariant field equations and global currents: Chern-Simons theories
We introduce the concept of conserved current variationally associated with locally variational invariant field equations. The invariance of the variation of the corresponding local presentation is a sufficient condition for the current beeing variationally equivalent to a global one. The case of a Chern-Simons theory is worked out and a global current is variationally associated with a Chern-Simons local Lagrangian.
Mathematical foundations of geometric quantization.
Measures on bundles and Trundles of measures