TORUS AND Z/p ACTIONS ON MANIFOLDS
نویسنده
چکیده
Let G be either a finite cyclic group of prime order or S. We show that if G acts on a manifold or, more generally, on a Poincaré duality space M , then each term of the Leray spectral sequence of the map M×GEG → BG satisfies a properly defined “Poincaré duality.” As a consequence of this fact we obtain new results relating the cohomology groups of M and M. We apply our results to study group actions on 3-manifolds. 1.
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