Galois Action on Algebraic Matrix Groups, Chern Classes, and the Euler Class.
Galois theory and Lubin-Tate cochains on classifying spaces
We consider brave new cochain extensions F(BG +,R) → F(EG +,R), where R is either a Lubin-Tate spectrum E n or the related 2-periodic Morava K-theory K n, and G is a finite group. When R is an Eilenberg-Mac Lane spectrum, in some good cases such an extension is a G-Galois extension in the sense of John Rognes, but not always faithful. We prove that for E n and K n these extensions are always faithful in the K n local category. However, for a cyclic p-group , the cochain extension is not a Galois...
Ganea fibrations. (Fibrations à la Ganea.)
G-ANR's with homotopy trivial fixed point sets
Let G be a compact group and X a G-ANR. Then X is a G-AR iff the H-fixed point set is homotopy trivial for each closed subgroup H ⊂ G.
G-CW-Surgery and K...(ZG).
Generalised Swan modules and the D(2) problem.
Generalized Adams completion
Generalized Brown representability in homotopy categories.
Generalized Brown representability in homotopy categories: erratum.
Generalized classes of groups, C-nilpotent spaces and "The Hurewicz theorem".
Generalized gradient flow and singularities of the Riemannian distance function
Significant information about the topology of a bounded domain of a Riemannian manifold is encoded into the properties of the distance, , from the boundary of . We discuss recent results showing the invariance of the singular set of the distance function with respect to the generalized gradient flow of , as well as applications to homotopy equivalence.
Generalized homotopy theory.
Generalized paths and pointed 1-movability
Generalized symmetric spaces and minimal models
We prove that any compact simply connected manifold carrying a structure of Riemannian 3- or 4-symmetric space is formal in the sense of Sullivan. This result generalizes Sullivan's classical theorem on the formality of symmetric spaces, but the proof is of a different nature, since for generalized symmetric spaces techniques based on the Hodge theory do not work. We use the Thomas theory of minimal models of fibrations and the classification of 3- and 4-symmetric spaces.
Generic morphisms, parametric representations and weakly cartesian monads.
Genus and symmetry in homotopy theory.
Genus sets and SNT sets of certain connective covering spaces
We study the genus and SNT sets of connective covering spaces of familiar finite CW-complexes, both of rationally elliptic type (e.g. quaternionic projective spaces) and of rationally hyperbolic type (e.g. one-point union of a pair of spheres). In connection with the latter situation, we are led to an independently interesting question in group theory: if f is a homomorphism from Gl(ν,A) to Gl(n,A), ν < n, A = ℤ, resp. , does the image of f have infinite, resp. uncountably infinite, index in...
Gerbes and homotopy quantum field theories.
Gorenstein rings with transcendental Poincaré-series.
Graded Lie Algebras of depth one.