CONCORDANCE OF Zp × Zp ACTIONS ON S 4
نویسنده
چکیده
The main result of [7] was that if M is a simply-connected four-manifold admitting an effective, homologically trivial, locally linear action byG = Zp×Zp, where p is prime, then M is equivariantly homeomorphic to a connected sum of standard actions on copies of ±CP 2 and S2 × S2 with a possibly non-standard action on S4. In this note we further examine these non-standard actions on the sphere. We describe some constructions arising from counterexamples to the generalized Smith Conjecture and then consider the classification of actions up to concordance. An analysis of singular sets and quotient spaces, combined with an application of the results of [2], allows us to prove:
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