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Rank conditions for finite group actions on 4-manifolds
Canadian Journal of Mathematics ( IF 0.6 ) Pub Date : 2021-01-18 , DOI: 10.4153/s0008414x21000018
Ian Hambleton 1 , Semra Pamuk 2
Affiliation  

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.



中文翻译:

4 流形上有限群动作的排序条件

M是一个封闭的、连通的、可定向的拓扑 $4$ 流形,而G是一个有限群,在M上具有拓扑和局部线性。在本文中,我们研究了 Borel 上同调 $H^*_G(M)$ 的谱序列,并为具有离散奇异集的同调平凡动作在G的秩上建立了新的界限。

更新日期:2021-01-18
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