Rank conditions for finite group actions on 4-manifolds

Hambleton I., PAMUK S.

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, vol.74, no.2, pp.550-572, 2022 (SCI-Expanded) identifier identifier identifier


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 spectral sequence for the Borel cohomology H-G* (M) and establish new bounds on the rank of G for homologically trivial actions with discrete singular set.