Finite group actions on 4-manifolds and equivariant bundles

Nima Anvari; Ian Hambleton

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arXiv · 2301.03105

Finite group actions on 4-manifolds and equivariant bundles

Nima Anvari·Ian Hambleton

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Abstract

Given a 4-manifold with a homologically trivial and locally-linear cyclic group action, we obtain necessary and sufficient conditions for the existence of equivariant bundles. The conditions are derived from the twisted signature formula and are in the form of congruence relations between the fixed point data and the isotropy representations.

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Nima Anvari, Ian Hambleton. 2023-01-08. Finite group actions on 4-manifolds and equivariant bundles. https://arxiv.org/abs/2301.03105

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