Rank conditions for finite group Actions on 4-Manifolds

Abstract

Let M be a closed, connected, orientable topological 4-manifold, and G be a finite group acting topologically and locally linearly on M. In this paper we investigate the Borel spectral sequence for the G-equivariant cohomology of M, and establish new bounds on the rank of G for homologically trivial actions with discrete singular set.

22 pages (v2). Accepted for publication in the Canadian Journal of Mathematics