Rank conditions for finite group actions on 4-manifolds. (18th April 2022)

• Record Type: Journal Article
• Authors: Hambleton, Ian; Pamuk, Semra
• Is Part Of: Canadian journal of mathematics. Volume 74:Number 2(2022)
• Page Start: 550
• Page End: 572
• Publication Date: 2022-04-18
• Subjects: 57S17 -- 57S25 -- 57N65; finite group actions -- 4-manifolds -- Borel spectral sequence; Mathematics -- Periodicals; Mathematics; Electronic journals; Periodicals; 510
• DOI: 10.4153/S0008414X21000018
• Languages: English
• ISSNs: 0008-414X

Abstract

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.