Torus and Z/p actions on manifolds
Abstract
Let G be either a finite cyclic group of prime order or S1. We find new relations between cohomology of a manifold (or a Poincare duality space) M with a G-action on it and cohomology of the fixed point set, MG. Our main tool is the notion of Poincare duality on the Leray spectral sequence of the map MG -> BG. We apply our results to study group actions on 3-manifolds.
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