Torus and Z/p actions on manifolds

Abstract

Let G be either a finite cyclic group of prime order or S^1. 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, M^G. Our main tool is the notion of Poincare duality on the Leray spectral sequence of the map M_G -> BG. We apply our results to study group actions on 3-manifolds.

To appear in Topology, 25 pages

References in corpus (2)

• Surgeries on periodic links and homology of periodic 3-manifolds
• Topological transformation groups