Exact sequences for equivariantly formal spaces
Algebraic Topology
2011-02-01 v3 Differential Geometry
Symplectic Geometry
Abstract
Let T be a torus. We present an exact sequence relating the relative equivariant cohomologies of the skeletons of an equivariantly formal T-space. This sequence, which goes back to Atiyah and Bredon, generalizes the so-called Chang-Skjelbred lemma. As coefficients, we allow prime fields and subrings of the rationals, including the integers. We extend to the same coefficients a generalization of this "Atiyah-Bredon sequence" for actions without fixed points which has recently been obtained by Goertsches and Toeben.
Cite
@article{arxiv.math/0307112,
title = {Exact sequences for equivariantly formal spaces},
author = {Matthias Franz and Volker Puppe},
journal= {arXiv preprint arXiv:math/0307112},
year = {2011}
}
Comments
7 pages; slightly stronger assumptions on the T-spaces, minor changes