Construction of group actions on four-manifolds

Edmonds, Allan L.

doi:10.1090/S0002-9947-1987-0869405-7

Construction of group actions on four-manifolds
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by Allan L. Edmonds PDF

Trans. Amer. Math. Soc. 299 (1987), 155-170 Request permission

Abstract:

It is shown that any cyclic group of odd prime order acts on any closed, simply connected topological $4$-manifold, inducing the identity on integral homology. The action is locally linear except perhaps at one isolated fixed point. In the case of primes greater than three a more careful argument is used to show that the action can be constructed to be locally linear.

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