Torus and Z/p actions on manifolds

Details Torus and Z/p actions on manifolds Torus and Z/p actions on manifolds

2002-05-01

arxiv.org/abs/math/0205013v2

Mathematics

Algebraic Topology

To appear in Topology, 25 pages

Scientific paper

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.

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