Torus and Z/p actions on manifolds
Algebraic Topology
2015-05-27 v2 Geometric Topology
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.
Cite
@article{arxiv.math/0205013,
title = {Torus and Z/p actions on manifolds},
author = {Adam S. Sikora},
journal= {arXiv preprint arXiv:math/0205013},
year = {2015}
}
Comments
To appear in Topology, 25 pages