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We survey generalisations of the Chang-Skjelbred Lemma for integralcoefficients. Moreover, we construct examples of manifolds with actions of toriof rank > 2 whose equivariant cohomology is torsion-free, but not free. Thisanswers a question of Allday's. The "mutants" we construct are obtained fromcompactified representations and involve Hopf bundles in a crucial way.

Freeness of equivariant cohomology and mutants of compactified representations