Freeness of equivariant cohomology and mutants of compactified representations

Details Freeness of equivariant cohomology and mutants of compactified representations Freeness of equivariant cohomology and mutants of compactified representations

2007-10-11

arxiv.org/abs/0710.2302v2

pp. 87-98 in: M. Harada et al. (eds.), Toric Topology (Proc. Intl. Conf. on Toric Topology, Osaka 2006), Contemp. Math. 460, A

Mathematics

Algebraic Topology

11 pages; more details on the smooth structure of the mutants; other, minor changes

Scientific paper

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.

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