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arXiv:0710.2302 [math.AT]AbstractReferencesReviewsResources

Freeness of equivariant cohomology and mutants of compactified representations

Matthias Franz, Volker Puppe

Published 2007-10-11, updated 2007-10-16Version 2

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

Comments: 11 pages; more details on the smooth structure of the mutants; other, minor changes
Journal: pp. 87-98 in: M. Harada et al. (eds.), Toric Topology (Osaka, 2006), Contemp. Math. 460, 2008
Categories: math.AT, math.GT
Subjects: 55N91, 55M35, 57S25
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