Exact cohomology sequences with integral coefficients for torus actions
Algebraic Topology
2007-10-21 v2
Abstract
Using methods applied by Atiyah in equivariant K-theory, Bredon obtained exact sequences for the relative cohomologies (with rational coefficients) of the equivariant skeletons of (sufficiently nice) T-spaces, T=(S^1)^n, with free equivariant cohomology over the cohomology of BT. Here we characterise those finite T-CW complexes with connected isotropy groups for which an analogous result holds with integral coefficients.
Cite
@article{arxiv.math/0505607,
title = {Exact cohomology sequences with integral coefficients for torus actions},
author = {Matthias Franz and Volker Puppe},
journal= {arXiv preprint arXiv:math/0505607},
year = {2007}
}
Comments
similar main result as in our preprint math.AT/0307112, but the proof is more elementary; 10 pages; final version