A Chain Level Transfer Homomorphism.
A characterization of harmonic sections and a Liouville theorem
Let be a principal fiber bundle and an associated fiber bundle. Our interest is to study the harmonic sections of the projection of into . Our first purpose is give a characterization of harmonic sections of into regarding its equivariant lift. The second purpose is to show a version of a Liouville theorem for harmonic sections of .
A classification of cohomology transfers for ramified covering maps
We construct a cohomology transfer for n-fold ramified covering maps. Then we define a very general concept of transfer for ramified covering maps and prove a classification theorem for such transfers. This generalizes Roush's classification of transfers for n-fold ordinary covering maps. We characterize those representable cofunctors which admit a family of transfers for ramified covering maps that have two naturality properties, as well as normalization and stability. This is analogous to Roush's...
A counterexample to a group completion conjecture of J. C. Moore.
A Decomposability Criterion for Algebraic 2-Bundles on Projective Spaces.
A Definition of Exotic Characteristic Classes of Spherical Fibrations
A Fiber bundle theorem.
A Functorial Construction of Fibre Bundles with a Structural Group
A -minimal model for principal -bundles
Sullivan associated a uniquely determined to any simply connected simplicial complex . This algebra (called minimal model) contains the total (and exactly) rational homotopy information of the space . In case is the total space of a principal -bundle, ( is a compact connected Lie-group) we associate a -equivariant model , which is a collection of “-homotopic” ’s with -action. will, in general, be different from the Sullivan’s minimal model of the space . contains the total rational...
A Homology Transfer for a Class of Simplicial Maps.
A homotopy 2-groupoid from a fibration.
A local-nonglobal Hurewicz fibration
A model for the universal space for proper actions of a hyperbolic group.
A Modified Dold-Lashof Construction that Does Classify H-Principal Fibrations.
A necessary and sufficient condition for the existence of a bundle in differential spaces
A note about the isotropy groups of 2-plane bundles over closed surfaces.
A note on characteristic classes
This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection. Our results are natural generalizations of the Gauss-Bonnet Theorem.
A note on exactness and stability in homotopical algebra.
A note on Lie algebroids which arise from groupoid actions
A note on the cohomology ring of the oriented Grassmann manifolds
We use known results on the characteristic rank of the canonical –plane bundle over the oriented Grassmann manifold to compute the generators of the –cohomology groups for . Drawing from the similarities of these examples with the general description of the cohomology rings of we conjecture some predictions.