6 problems

Let $G$ be a finite group, let $X$ be a based $G$-space, and let $H\leq G$. The trace map on fixed points is … Here $A_G(X)$ denotes genuine $G$-equivariant $A$-theory,…

Let $G$ be a finite group acting on a manifold $M$, and let $X$ be a $G$-space. The $G$-spectrum $\textbf{A}_G(X)$ is the equivariant $A$-theory spectrum constructed in Cary and Mo…

Let $\theta=(B,p,xi)$ be a family of $Rd$-bundles, and let T^% denote the covariant part of the transformation tau^% associated to the extended $A$-theory characteristic. Here…

The extended $A$-theory characteristic provides a lift associated to a family of compact topological manifolds. Connectivity conjecture. This lift becomes highly connected as the m…

Let $\cF$ be a family of groups, let $G$ be a countable discrete group, and let $W$ be a free $G$-CW-complex. Let $E_\cF G$ denote the classifying space of $G$ for the family $\cF$…

Equivariant A-theory delooping conjecture. The deloopings of the equivariant $A$-theory space with respect to representations should be given by iterations of the $S_\bullet$-const…