Rank conditions for finite group actions on 4-manifolds
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, vol.74, no.2, pp.550-572, 2022 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 74 Issue: 2
- Publication Date: 2022
- Doi Number: 10.4153/s0008414x21000018
- Journal Name: CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
- Page Numbers: pp.550-572
- Middle East Technical University Affiliated: Yes
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 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.