Toward a non-Abelian Atiyah-Bredon sequence

Deal, Peter Evan (2013) Toward a non-Abelian Atiyah-Bredon sequence. Masters thesis, Memorial University of Newfoundland.

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Abstract

For a topological group G acting on a G-CW complex, the Chang-Skjelbred Lemma presents an exact sequence of equivariant cohomology groups [7]. Atiyah and Bredon determined an exact sequence that extends the Chang-Skjelbred Lemma [7]. The Atiyah-Bredon sequence holds only for torus actions, but Baird has conjectured that it can be generalized to actions by any compact connected Lie group. This work provides the necessary background in equivariant cohomology for this conjecture.

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