Periodic equivariant Real k-theories have rational Tate theory.
Problem session.
Rational Hopf G-spaces with two nontrivial homotopy group systems
Let G be a finite group. We prove that every rational G-connected Hopf G-space with two nontrivial homotopy group systems is G-homotopy equivalent to an infinite loop G-space.
Rationalization of Hopf G-Spaces..
Real cobordism and greek letter elements in the geometric chromatic spectral sequence.
Reflexive and dihedral (co)homology of a pre-additive category.
Representation Forms for Metacyclic groups.
Simplicial and categorical diagrams, and their equivariant applications.
The cancellation problem for homotopy equivalent representations of finite groups: a survey
The cobordism of Real manifolds
We calculate completely the Real cobordism groups, introduced by Landweber and Fujii, in terms of homotopy groups of known spectra.
The equivariant homotopy type of G-ANR's for proper actions of locally compact groups
We prove that if G is a locally compact Hausdorff group then every proper G-ANR space has the G-homotopy type of a G-CW complex. This is applied to extend the James-Segal G-homotopy equivalence theorem to the case of arbitrary locally compact proper group actions.
The Salvetti complex and the little cubes
For a real central arrangement , Salvetti introduced a construction of a finite complex Sal which is homotopy equivalent to the complement of the complexified arrangement in [Sal87]. For the braid arrangement , the Salvetti complex Sal serves as a good combinatorial model for the homotopy type of the configuration space of points in , which is homotopy equivalent to the space of k little -cubes. Motivated by the importance of little cubes in homotopy theory, especially in the study of...
The tangent bundle of an almost-complex free loopspace.
The Wirthmüller isomorphism revisited.
When projective does not imply flat, and other homological anomalies.