Exact sequences for equivariantly formal spaces

Details Exact sequences for equivariantly formal spaces Exact sequences for equivariantly formal spaces

2003-07-09

arxiv.org/abs/math/0307112v3

C. R. Math. Acad. Sci. Soc. R. Can. 33 (2011), 1-10

Mathematics

Algebraic Topology

7 pages; slightly stronger assumptions on the T-spaces, minor changes

Scientific paper

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.

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