Rank conditions for finite group actions on 4-manifolds

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Pamuk S., Hambleton I.

Canadian Journal Of Mathematics-Journal Canadien De Mathematiques, vol.74, no.2, pp.550-572, 2022 (SCI-Expanded)

• 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" role="presentation" >4$4$-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 HG∗(M)" role="presentation" >H∗G(M)$H_G^{\ast }(M)$ and establish new bounds on the rank of G for homologically trivial actions with discrete singular set.