On Wall manifolds with almost free \(\mathbf Z_{2^ k}\) actions (Q1210384)

This paper studies the equivariant bordism classification of almost free actions of the cyclic groups \(\mathbb{Z}/2^ k\mathbb{Z}\) on Wall manifolds. Here an action is almost free if the isotropy groups are all subgroups of the subgroup of order 2. A Wall manifold is a manifold for which the orientation is induced by a map into a circle. Wall manifolds are crucial in understanding oriented bordism and its relation to unoriented bordism, and the goal here is an analogous understanding of the equivariant bordism of oriented manifolds with an action of the cyclic group of order \(2^ k\).