Exact cohomology sequences with integral coefficients for torus actions

Details Exact cohomology sequences with integral coefficients for torus actions Exact cohomology sequences with integral coefficients for torus actions

2005-05-27

arxiv.org/abs/math/0505607v2

Transformation Groups 12 (2007), 65-76

Mathematics

Algebraic Topology

similar main result as in our preprint math.AT/0307112, but the proof is more elementary; 10 pages; final version

Scientific paper

10.1007/s00031-005-1127-0

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.

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