Fibrés vectoriels positifs sur une courbe elliptique
Fibrované variety a kvantová teorie
Finite spaces and the universal bundle of a group
We find sufficient conditions for a cotriad of which the objects are locally trivial fibrations, in order that the push-out be a locally trivial fibration. As an application, the universal -bundle of a finite group , and the classifying space is modeled by locally finite spaces. In particular, if is finite, then the universal -bundle is the limit of an ascending chain of finite spaces. The bundle projection is a covering projection.
Finite subset spaces of graphs and punctured surfaces.
Finite subset spaces of .
Finite-dimensional spaces in resolving classes
Using the theory of resolving classes, we show that if X is a CW complex of finite type such that for all sufficiently large n, then map⁎(X,K) ∼ ∗ for every simply-connected finite-dimensional CW complex K; and under mild hypotheses on π₁(X), the same conclusion holds for all finite-dimensional complexes K. Since it is comparatively easy to prove the former condition for X = Bℤ/p (we give a proof in an appendix), this result can be applied to give a new, more elementary proof of the Sullivan conjecture....
Finiteness of classifying spaces of relative diffeomorphism groups of 3-manifolds.
Fixed points on Klein bottle fiber bundles over the circle
The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S¹ for spaces which are fiber bundles over S¹ and the fiber is the Klein bottle K. We classify all such maps which can be deformed fiberwise to a fixed point free map. The similar problem for torus fiber bundles over S¹ has been solved recently.
Fixed points on torus fiber bundles over the circle
The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S¹ for spaces which are fibrations over S¹ and the fiber is the torus ,T. For the case where the fiber is a surface with nonpositive Euler characteristic, we establish general algebraic conditions, in terms of the fundamental group and the induced homomorphism, for the existence of a deformation of a map over S¹ to a fixed point free map. For the case where the fiber is a torus, we classify all maps over...
Flat bundles and holonomy homomorphisms.
Flat circle bundles, pullbacks, and the circle made discrete.
Foliations transverse to fibers of Seifert manifolds.
Fourier-like kernels in geometric quantization [Book]
Framing Sphere Bundles over Spheres, the Smith Pairing, and Three-Fold Toda Brackets.
Fundamental Groups of Homogeneous Space Forms.
Fundamental vector fields on associated fiber bundles