3 problems

Vanishing conjecture for higher localised $\widehat{A}$-genera. If $M$ admits a $\Gamma$-invariant Riemannian metric of positive scalar curvature, then for every closed $m$-form…

Let a finitely generated discrete group $\Gamma$ act properly on a spin manifold $M$. In the cocompact case, the higher localised $\widehat{A}$-genera are the invariants obtained b…

Let $G$ and $H$ be Lie groups and let $X$ and $Y$ be smooth manifolds on which $G$ and $H$, respectively, act properly. Assume that the orbit spaces $X/G$ and $Y/H$ are diffeomorph…