Rank conditions for finite group actions on 4-manifolds

Hambleton, Ian; Pamuk, Semra

doi:10.4153/S0008414X21000018

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Rank conditions for finite group actions on 4-manifolds

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Hambleton, Ian
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.4153/S0008414X21000018
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Citation

Hambleton, I., & Pamuk, S. (2022). Rank conditions for finite group actions on 4-manifolds. Canadian Journal of Mathematics, 74(2), 550-572. doi:10.4153/S0008414X21000018.

Cite as: https://hdl.handle.net/21.11116/0000-0008-4697-F

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